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Finding the Fourth Proportional to 167.14, 230.88 and 147.49

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Solution

The fourth proportional to 167.14, 230.88 and 147.49 is: 203.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.14 : 230.88 = 147.49 : x
  2. Step 2: Convert to fraction form
    167.14/230.88 = 147.49/x
  3. Step 3: Cross multiply
    167.14x = 230.88 × 147.49
  4. Step 4: Simplify right side
    167.14x = 34,052.49
  5. Step 5: Solve for x
    x = 34,052.49/167.14
  6. Step 6: Final answer
    x = 203.74

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