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Finding the Fourth Proportional to 385.20, 578.02 and 141.89

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Solution

The fourth proportional to 385.20, 578.02 and 141.89 is: 212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.20 : 578.02 = 141.89 : x
  2. Step 2: Convert to fraction form
    385.20/578.02 = 141.89/x
  3. Step 3: Cross multiply
    385.20x = 578.02 × 141.89
  4. Step 4: Simplify right side
    385.20x = 82,015.61
  5. Step 5: Solve for x
    x = 82,015.61/385.20
  6. Step 6: Final answer
    x = 212.92

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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.