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Finding the Fourth Proportional to 167.90, 230.24 and 151.47

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Solution

The fourth proportional to 167.90, 230.24 and 151.47 is: 207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.90 : 230.24 = 151.47 : x
  2. Step 2: Convert to fraction form
    167.90/230.24 = 151.47/x
  3. Step 3: Cross multiply
    167.90x = 230.24 × 151.47
  4. Step 4: Simplify right side
    167.90x = 34,874.83
  5. Step 5: Solve for x
    x = 34,874.83/167.90
  6. Step 6: Final answer
    x = 207.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.