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Finding the Fourth Proportional to 151.14, 224.88 and 149.97

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Solution

The fourth proportional to 151.14, 224.88 and 149.97 is: 223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.14 : 224.88 = 149.97 : x
  2. Step 2: Convert to fraction form
    151.14/224.88 = 149.97/x
  3. Step 3: Cross multiply
    151.14x = 224.88 × 149.97
  4. Step 4: Simplify right side
    151.14x = 33,725.25
  5. Step 5: Solve for x
    x = 33,725.25/151.14
  6. Step 6: Final answer
    x = 223.14

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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.