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Finding the Fourth Proportional to 276.10, 414.16 and 160.47

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Solution

The fourth proportional to 276.10, 414.16 and 160.47 is: 240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.10 : 414.16 = 160.47 : x
  2. Step 2: Convert to fraction form
    276.10/414.16 = 160.47/x
  3. Step 3: Cross multiply
    276.10x = 414.16 × 160.47
  4. Step 4: Simplify right side
    276.10x = 66,459.85
  5. Step 5: Solve for x
    x = 66,459.85/276.10
  6. Step 6: Final answer
    x = 240.71

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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.