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Finding the Fourth Proportional to 151.20, 209.88 and 149.04

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Solution

The fourth proportional to 151.20, 209.88 and 149.04 is: 206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.20 : 209.88 = 149.04 : x
  2. Step 2: Convert to fraction form
    151.20/209.88 = 149.04/x
  3. Step 3: Cross multiply
    151.20x = 209.88 × 149.04
  4. Step 4: Simplify right side
    151.20x = 31,280.52
  5. Step 5: Solve for x
    x = 31,280.52/151.20
  6. Step 6: Final answer
    x = 206.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.