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Finding the Fourth Proportional to 220.02, 329.49 and 177.18

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Solution

The fourth proportional to 220.02, 329.49 and 177.18 is: 265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.02 : 329.49 = 177.18 : x
  2. Step 2: Convert to fraction form
    220.02/329.49 = 177.18/x
  3. Step 3: Cross multiply
    220.02x = 329.49 × 177.18
  4. Step 4: Simplify right side
    220.02x = 58,379.04
  5. Step 5: Solve for x
    x = 58,379.04/220.02
  6. Step 6: Final answer
    x = 265.34

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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.