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Finding the Fourth Proportional to 267.92, 402.23 and 152.43

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Solution

The fourth proportional to 267.92, 402.23 and 152.43 is: 228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.92 : 402.23 = 152.43 : x
  2. Step 2: Convert to fraction form
    267.92/402.23 = 152.43/x
  3. Step 3: Cross multiply
    267.92x = 402.23 × 152.43
  4. Step 4: Simplify right side
    267.92x = 61,312.30
  5. Step 5: Solve for x
    x = 61,312.30/267.92
  6. Step 6: Final answer
    x = 228.85

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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.