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Finding the Fourth Proportional to 276.85, 415.34 and 114.53

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Solution

The fourth proportional to 276.85, 415.34 and 114.53 is: 171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.85 : 415.34 = 114.53 : x
  2. Step 2: Convert to fraction form
    276.85/415.34 = 114.53/x
  3. Step 3: Cross multiply
    276.85x = 415.34 × 114.53
  4. Step 4: Simplify right side
    276.85x = 47,568.89
  5. Step 5: Solve for x
    x = 47,568.89/276.85
  6. Step 6: Final answer
    x = 171.82

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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.