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Finding the Fourth Proportional to 276.46, 414.64 and 132.16

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Solution

The fourth proportional to 276.46, 414.64 and 132.16 is: 198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.46 : 414.64 = 132.16 : x
  2. Step 2: Convert to fraction form
    276.46/414.64 = 132.16/x
  3. Step 3: Cross multiply
    276.46x = 414.64 × 132.16
  4. Step 4: Simplify right side
    276.46x = 54,798.82
  5. Step 5: Solve for x
    x = 54,798.82/276.46
  6. Step 6: Final answer
    x = 198.22

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Why These Related Problems?

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