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Finding the Fourth Proportional to 167.47, 252.38 and 151.24

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Solution

The fourth proportional to 167.47, 252.38 and 151.24 is: 227.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.47 : 252.38 = 151.24 : x
  2. Step 2: Convert to fraction form
    167.47/252.38 = 151.24/x
  3. Step 3: Cross multiply
    167.47x = 252.38 × 151.24
  4. Step 4: Simplify right side
    167.47x = 38,169.95
  5. Step 5: Solve for x
    x = 38,169.95/167.47
  6. Step 6: Final answer
    x = 227.92

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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.