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Finding the Fourth Proportional to 147.10, 220.05 and 132.70

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Solution

The fourth proportional to 147.10, 220.05 and 132.70 is: 198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.10 : 220.05 = 132.70 : x
  2. Step 2: Convert to fraction form
    147.10/220.05 = 132.70/x
  3. Step 3: Cross multiply
    147.10x = 220.05 × 132.70
  4. Step 4: Simplify right side
    147.10x = 29,200.64
  5. Step 5: Solve for x
    x = 29,200.64/147.10
  6. Step 6: Final answer
    x = 198.51

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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.