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Finding the Fourth Proportional to 384.12, 576.18 and 178.56

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Solution

The fourth proportional to 384.12, 576.18 and 178.56 is: 267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.12 : 576.18 = 178.56 : x
  2. Step 2: Convert to fraction form
    384.12/576.18 = 178.56/x
  3. Step 3: Cross multiply
    384.12x = 576.18 × 178.56
  4. Step 4: Simplify right side
    384.12x = 102,882.70
  5. Step 5: Solve for x
    x = 102,882.70/384.12
  6. Step 6: Final answer
    x = 267.84

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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.