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Finding the Fourth Proportional to 152.19, 227.99 and 132.71

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Solution

The fourth proportional to 152.19, 227.99 and 132.71 is: 198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.19 : 227.99 = 132.71 : x
  2. Step 2: Convert to fraction form
    152.19/227.99 = 132.71/x
  3. Step 3: Cross multiply
    152.19x = 227.99 × 132.71
  4. Step 4: Simplify right side
    152.19x = 30,254.75
  5. Step 5: Solve for x
    x = 30,254.75/152.19
  6. Step 6: Final answer
    x = 198.80

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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.