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Finding the Fourth Proportional to 384.10, 576.12 and 178.62

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Solution

The fourth proportional to 384.10, 576.12 and 178.62 is: 267.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.10 : 576.12 = 178.62 : x
  2. Step 2: Convert to fraction form
    384.10/576.12 = 178.62/x
  3. Step 3: Cross multiply
    384.10x = 576.12 × 178.62
  4. Step 4: Simplify right side
    384.10x = 102,906.55
  5. Step 5: Solve for x
    x = 102,906.55/384.10
  6. Step 6: Final answer
    x = 267.92

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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.