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Finding the Fourth Proportional to 276.26, 414.34 and 102.89

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Solution

The fourth proportional to 276.26, 414.34 and 102.89 is: 154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.26 : 414.34 = 102.89 : x
  2. Step 2: Convert to fraction form
    276.26/414.34 = 102.89/x
  3. Step 3: Cross multiply
    276.26x = 414.34 × 102.89
  4. Step 4: Simplify right side
    276.26x = 42,630.02
  5. Step 5: Solve for x
    x = 42,630.02/276.26
  6. Step 6: Final answer
    x = 154.31

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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.