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Finding the Fourth Proportional to 167.57, 249.90 and 143.35

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Solution

The fourth proportional to 167.57, 249.90 and 143.35 is: 213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.57 : 249.90 = 143.35 : x
  2. Step 2: Convert to fraction form
    167.57/249.90 = 143.35/x
  3. Step 3: Cross multiply
    167.57x = 249.90 × 143.35
  4. Step 4: Simplify right side
    167.57x = 35,823.17
  5. Step 5: Solve for x
    x = 35,823.17/167.57
  6. Step 6: Final answer
    x = 213.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.