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Finding the Fourth Proportional to 385.86, 578.76 and 142.38

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Solution

The fourth proportional to 385.86, 578.76 and 142.38 is: 213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.86 : 578.76 = 142.38 : x
  2. Step 2: Convert to fraction form
    385.86/578.76 = 142.38/x
  3. Step 3: Cross multiply
    385.86x = 578.76 × 142.38
  4. Step 4: Simplify right side
    385.86x = 82,403.85
  5. Step 5: Solve for x
    x = 82,403.85/385.86
  6. Step 6: Final answer
    x = 213.56

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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.