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Finding the Fourth Proportional to 152.55, 228.96 and 132.21

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Solution

The fourth proportional to 152.55, 228.96 and 132.21 is: 198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.55 : 228.96 = 132.21 : x
  2. Step 2: Convert to fraction form
    152.55/228.96 = 132.21/x
  3. Step 3: Cross multiply
    152.55x = 228.96 × 132.21
  4. Step 4: Simplify right side
    152.55x = 30,270.80
  5. Step 5: Solve for x
    x = 30,270.80/152.55
  6. Step 6: Final answer
    x = 198.43

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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.