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Finding the Fourth Proportional to 267.88, 402.14 and 146.38

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Solution

The fourth proportional to 267.88, 402.14 and 146.38 is: 219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.88 : 402.14 = 146.38 : x
  2. Step 2: Convert to fraction form
    267.88/402.14 = 146.38/x
  3. Step 3: Cross multiply
    267.88x = 402.14 × 146.38
  4. Step 4: Simplify right side
    267.88x = 58,865.25
  5. Step 5: Solve for x
    x = 58,865.25/267.88
  6. Step 6: Final answer
    x = 219.74

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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.