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Finding the Fourth Proportional to 384.38, 576.42 and 137.54

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Solution

The fourth proportional to 384.38, 576.42 and 137.54 is: 206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.38 : 576.42 = 137.54 : x
  2. Step 2: Convert to fraction form
    384.38/576.42 = 137.54/x
  3. Step 3: Cross multiply
    384.38x = 576.42 × 137.54
  4. Step 4: Simplify right side
    384.38x = 79,278.49
  5. Step 5: Solve for x
    x = 79,278.49/384.38
  6. Step 6: Final answer
    x = 206.25

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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.