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Finding the Fourth Proportional to 276.23, 414.12 and 229.84

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Solution

The fourth proportional to 276.23, 414.12 and 229.84 is: 344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.23 : 414.12 = 229.84 : x
  2. Step 2: Convert to fraction form
    276.23/414.12 = 229.84/x
  3. Step 3: Cross multiply
    276.23x = 414.12 × 229.84
  4. Step 4: Simplify right side
    276.23x = 95,181.17
  5. Step 5: Solve for x
    x = 95,181.17/276.23
  6. Step 6: Final answer
    x = 344.57

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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.