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Finding the Fourth Proportional to 151.20, 208.17 and 142.92

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Solution

The fourth proportional to 151.20, 208.17 and 142.92 is: 196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.20 : 208.17 = 142.92 : x
  2. Step 2: Convert to fraction form
    151.20/208.17 = 142.92/x
  3. Step 3: Cross multiply
    151.20x = 208.17 × 142.92
  4. Step 4: Simplify right side
    151.20x = 29,751.66
  5. Step 5: Solve for x
    x = 29,751.66/151.20
  6. Step 6: Final answer
    x = 196.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.