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Finding the Fourth Proportional to 276.97, 414.58 and 154.86

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Solution

The fourth proportional to 276.97, 414.58 and 154.86 is: 231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.97 : 414.58 = 154.86 : x
  2. Step 2: Convert to fraction form
    276.97/414.58 = 154.86/x
  3. Step 3: Cross multiply
    276.97x = 414.58 × 154.86
  4. Step 4: Simplify right side
    276.97x = 64,201.08
  5. Step 5: Solve for x
    x = 64,201.08/276.97
  6. Step 6: Final answer
    x = 231.80

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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.