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Finding the Fourth Proportional to 385.52, 578.42 and 142.06

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Solution

The fourth proportional to 385.52, 578.42 and 142.06 is: 213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.52 : 578.42 = 142.06 : x
  2. Step 2: Convert to fraction form
    385.52/578.42 = 142.06/x
  3. Step 3: Cross multiply
    385.52x = 578.42 × 142.06
  4. Step 4: Simplify right side
    385.52x = 82,170.35
  5. Step 5: Solve for x
    x = 82,170.35/385.52
  6. Step 6: Final answer
    x = 213.14

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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.