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Finding the Fourth Proportional to 531.35, 797.14 and 166.16

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Solution

The fourth proportional to 531.35, 797.14 and 166.16 is: 249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.35 : 797.14 = 166.16 : x
  2. Step 2: Convert to fraction form
    531.35/797.14 = 166.16/x
  3. Step 3: Cross multiply
    531.35x = 797.14 × 166.16
  4. Step 4: Simplify right side
    531.35x = 132,455.54
  5. Step 5: Solve for x
    x = 132,455.54/531.35
  6. Step 6: Final answer
    x = 249.28

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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.