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Finding the Fourth Proportional to 276.29, 414.51 and 114.02

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Solution

The fourth proportional to 276.29, 414.51 and 114.02 is: 171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.29 : 414.51 = 114.02 : x
  2. Step 2: Convert to fraction form
    276.29/414.51 = 114.02/x
  3. Step 3: Cross multiply
    276.29x = 414.51 × 114.02
  4. Step 4: Simplify right side
    276.29x = 47,263.18
  5. Step 5: Solve for x
    x = 47,263.18/276.29
  6. Step 6: Final answer
    x = 171.06

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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.