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Finding the Fourth Proportional to 653.77, 980.65 and 166.80

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Solution

The fourth proportional to 653.77, 980.65 and 166.80 is: 250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.77 : 980.65 = 166.80 : x
  2. Step 2: Convert to fraction form
    653.77/980.65 = 166.80/x
  3. Step 3: Cross multiply
    653.77x = 980.65 × 166.80
  4. Step 4: Simplify right side
    653.77x = 163,572.42
  5. Step 5: Solve for x
    x = 163,572.42/653.77
  6. Step 6: Final answer
    x = 250.20

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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.