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Finding the Fourth Proportional to 276.24, 414.06 and 102.86

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Solution

The fourth proportional to 276.24, 414.06 and 102.86 is: 154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.24 : 414.06 = 102.86 : x
  2. Step 2: Convert to fraction form
    276.24/414.06 = 102.86/x
  3. Step 3: Cross multiply
    276.24x = 414.06 × 102.86
  4. Step 4: Simplify right side
    276.24x = 42,590.21
  5. Step 5: Solve for x
    x = 42,590.21/276.24
  6. Step 6: Final answer
    x = 154.18

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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.