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Finding the Fourth Proportional to 220.10, 329.76 and 117.14

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Solution

The fourth proportional to 220.10, 329.76 and 117.14 is: 175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.10 : 329.76 = 117.14 : x
  2. Step 2: Convert to fraction form
    220.10/329.76 = 117.14/x
  3. Step 3: Cross multiply
    220.10x = 329.76 × 117.14
  4. Step 4: Simplify right side
    220.10x = 38,626.44
  5. Step 5: Solve for x
    x = 38,626.44/220.10
  6. Step 6: Final answer
    x = 175.50

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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.