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Finding the Fourth Proportional to 276.40, 414.56 and 114.12

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Solution

The fourth proportional to 276.40, 414.56 and 114.12 is: 171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.40 : 414.56 = 114.12 : x
  2. Step 2: Convert to fraction form
    276.40/414.56 = 114.12/x
  3. Step 3: Cross multiply
    276.40x = 414.56 × 114.12
  4. Step 4: Simplify right side
    276.40x = 47,309.59
  5. Step 5: Solve for x
    x = 47,309.59/276.40
  6. Step 6: Final answer
    x = 171.16

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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.