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Finding the Fourth Proportional to 220.40, 329.17 and 177.14

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Solution

The fourth proportional to 220.40, 329.17 and 177.14 is: 264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.40 : 329.17 = 177.14 : x
  2. Step 2: Convert to fraction form
    220.40/329.17 = 177.14/x
  3. Step 3: Cross multiply
    220.40x = 329.17 × 177.14
  4. Step 4: Simplify right side
    220.40x = 58,308.29
  5. Step 5: Solve for x
    x = 58,308.29/220.40
  6. Step 6: Final answer
    x = 264.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.