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Finding the Fourth Proportional to 276.23, 414.51 and 102.88

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Solution

The fourth proportional to 276.23, 414.51 and 102.88 is: 154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.23 : 414.51 = 102.88 : x
  2. Step 2: Convert to fraction form
    276.23/414.51 = 102.88/x
  3. Step 3: Cross multiply
    276.23x = 414.51 × 102.88
  4. Step 4: Simplify right side
    276.23x = 42,644.79
  5. Step 5: Solve for x
    x = 42,644.79/276.23
  6. Step 6: Final answer
    x = 154.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.