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Finding the Fourth Proportional to 276.56, 414.76 and 154.88

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Solution

The fourth proportional to 276.56, 414.76 and 154.88 is: 232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.56 : 414.76 = 154.88 : x
  2. Step 2: Convert to fraction form
    276.56/414.76 = 154.88/x
  3. Step 3: Cross multiply
    276.56x = 414.76 × 154.88
  4. Step 4: Simplify right side
    276.56x = 64,238.03
  5. Step 5: Solve for x
    x = 64,238.03/276.56
  6. Step 6: Final answer
    x = 232.28

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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.