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Finding the Fourth Proportional to 220.32, 329.77 and 159.17

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Solution

The fourth proportional to 220.32, 329.77 and 159.17 is: 238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.32 : 329.77 = 159.17 : x
  2. Step 2: Convert to fraction form
    220.32/329.77 = 159.17/x
  3. Step 3: Cross multiply
    220.32x = 329.77 × 159.17
  4. Step 4: Simplify right side
    220.32x = 52,488.04
  5. Step 5: Solve for x
    x = 52,488.04/220.32
  6. Step 6: Final answer
    x = 238.24

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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.