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Finding the Fourth Proportional to 150.82, 225.13 and 132.59

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Solution

The fourth proportional to 150.82, 225.13 and 132.59 is: 197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.82 : 225.13 = 132.59 : x
  2. Step 2: Convert to fraction form
    150.82/225.13 = 132.59/x
  3. Step 3: Cross multiply
    150.82x = 225.13 × 132.59
  4. Step 4: Simplify right side
    150.82x = 29,849.99
  5. Step 5: Solve for x
    x = 29,849.99/150.82
  6. Step 6: Final answer
    x = 197.92

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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.