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Finding the Fourth Proportional to 151.34, 225.70 and 136.76

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Solution

The fourth proportional to 151.34, 225.70 and 136.76 is: 203.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.34 : 225.70 = 136.76 : x
  2. Step 2: Convert to fraction form
    151.34/225.70 = 136.76/x
  3. Step 3: Cross multiply
    151.34x = 225.70 × 136.76
  4. Step 4: Simplify right side
    151.34x = 30,866.73
  5. Step 5: Solve for x
    x = 30,866.73/151.34
  6. Step 6: Final answer
    x = 203.96

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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.