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Finding the Fourth Proportional to 385.41, 578.16 and 141.87

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Solution

The fourth proportional to 385.41, 578.16 and 141.87 is: 212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.41 : 578.16 = 141.87 : x
  2. Step 2: Convert to fraction form
    385.41/578.16 = 141.87/x
  3. Step 3: Cross multiply
    385.41x = 578.16 × 141.87
  4. Step 4: Simplify right side
    385.41x = 82,023.56
  5. Step 5: Solve for x
    x = 82,023.56/385.41
  6. Step 6: Final answer
    x = 212.82

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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.