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Finding the Fourth Proportional to 276.66, 414.99 and 154.82

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Solution

The fourth proportional to 276.66, 414.99 and 154.82 is: 232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.66 : 414.99 = 154.82 : x
  2. Step 2: Convert to fraction form
    276.66/414.99 = 154.82/x
  3. Step 3: Cross multiply
    276.66x = 414.99 × 154.82
  4. Step 4: Simplify right side
    276.66x = 64,250.70
  5. Step 5: Solve for x
    x = 64,250.70/276.66
  6. Step 6: Final answer
    x = 232.24

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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.