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Finding the Fourth Proportional to 152.04, 227.87 and 132.69

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Solution

The fourth proportional to 152.04, 227.87 and 132.69 is: 198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.04 : 227.87 = 132.69 : x
  2. Step 2: Convert to fraction form
    152.04/227.87 = 132.69/x
  3. Step 3: Cross multiply
    152.04x = 227.87 × 132.69
  4. Step 4: Simplify right side
    152.04x = 30,235.41
  5. Step 5: Solve for x
    x = 30,235.41/152.04
  6. Step 6: Final answer
    x = 198.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.