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Finding the Fourth Proportional to 276.13, 414.38 and 154.50

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Solution

The fourth proportional to 276.13, 414.38 and 154.50 is: 231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.13 : 414.38 = 154.50 : x
  2. Step 2: Convert to fraction form
    276.13/414.38 = 154.50/x
  3. Step 3: Cross multiply
    276.13x = 414.38 × 154.50
  4. Step 4: Simplify right side
    276.13x = 64,021.71
  5. Step 5: Solve for x
    x = 64,021.71/276.13
  6. Step 6: Final answer
    x = 231.85

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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.