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Finding the Fourth Proportional to 653.22, 979.84 and 166.28

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Solution

The fourth proportional to 653.22, 979.84 and 166.28 is: 249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.22 : 979.84 = 166.28 : x
  2. Step 2: Convert to fraction form
    653.22/979.84 = 166.28/x
  3. Step 3: Cross multiply
    653.22x = 979.84 × 166.28
  4. Step 4: Simplify right side
    653.22x = 162,927.80
  5. Step 5: Solve for x
    x = 162,927.80/653.22
  6. Step 6: Final answer
    x = 249.42

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.