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Finding the Fourth Proportional to 384.56, 576.56 and 137.68

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Solution

The fourth proportional to 384.56, 576.56 and 137.68 is: 206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.56 : 576.56 = 137.68 : x
  2. Step 2: Convert to fraction form
    384.56/576.56 = 137.68/x
  3. Step 3: Cross multiply
    384.56x = 576.56 × 137.68
  4. Step 4: Simplify right side
    384.56x = 79,380.78
  5. Step 5: Solve for x
    x = 79,380.78/384.56
  6. Step 6: Final answer
    x = 206.42

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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.