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Finding the Fourth Proportional to 146.92, 221.23 and 129.10

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Solution

The fourth proportional to 146.92, 221.23 and 129.10 is: 194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.92 : 221.23 = 129.10 : x
  2. Step 2: Convert to fraction form
    146.92/221.23 = 129.10/x
  3. Step 3: Cross multiply
    146.92x = 221.23 × 129.10
  4. Step 4: Simplify right side
    146.92x = 28,560.79
  5. Step 5: Solve for x
    x = 28,560.79/146.92
  6. Step 6: Final answer
    x = 194.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.