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Finding the Fourth Proportional to 154.46, 212.96 and 132.59

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Solution

The fourth proportional to 154.46, 212.96 and 132.59 is: 182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.46 : 212.96 = 132.59 : x
  2. Step 2: Convert to fraction form
    154.46/212.96 = 132.59/x
  3. Step 3: Cross multiply
    154.46x = 212.96 × 132.59
  4. Step 4: Simplify right side
    154.46x = 28,235.30
  5. Step 5: Solve for x
    x = 28,235.30/154.46
  6. Step 6: Final answer
    x = 182.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.