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Finding the Fourth Proportional to 276.31, 414.50 and 102.97

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Solution

The fourth proportional to 276.31, 414.50 and 102.97 is: 154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.31 : 414.50 = 102.97 : x
  2. Step 2: Convert to fraction form
    276.31/414.50 = 102.97/x
  3. Step 3: Cross multiply
    276.31x = 414.50 × 102.97
  4. Step 4: Simplify right side
    276.31x = 42,679.51
  5. Step 5: Solve for x
    x = 42,679.51/276.31
  6. Step 6: Final answer
    x = 154.46

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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.