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Finding the Fourth Proportional to 151.20, 225.72 and 135

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Solution

The fourth proportional to 151.20, 225.72 and 135 is: 201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.20 : 225.72 = 135 : x
  2. Step 2: Convert to fraction form
    151.20/225.72 = 135/x
  3. Step 3: Cross multiply
    151.20x = 225.72 × 135
  4. Step 4: Simplify right side
    151.20x = 30,472.20
  5. Step 5: Solve for x
    x = 30,472.20/151.20
  6. Step 6: Final answer
    x = 201.54

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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.