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Finding the Fourth Proportional to 167.38, 249.63 and 153.74

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Solution

The fourth proportional to 167.38, 249.63 and 153.74 is: 229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.38 : 249.63 = 153.74 : x
  2. Step 2: Convert to fraction form
    167.38/249.63 = 153.74/x
  3. Step 3: Cross multiply
    167.38x = 249.63 × 153.74
  4. Step 4: Simplify right side
    167.38x = 38,378.12
  5. Step 5: Solve for x
    x = 38,378.12/167.38
  6. Step 6: Final answer
    x = 229.29

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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.