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Finding the Fourth Proportional to 384.22, 576.31 and 140.82

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Solution

The fourth proportional to 384.22, 576.31 and 140.82 is: 211.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.22 : 576.31 = 140.82 : x
  2. Step 2: Convert to fraction form
    384.22/576.31 = 140.82/x
  3. Step 3: Cross multiply
    384.22x = 576.31 × 140.82
  4. Step 4: Simplify right side
    384.22x = 81,155.97
  5. Step 5: Solve for x
    x = 81,155.97/384.22
  6. Step 6: Final answer
    x = 211.22

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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.