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Finding the Fourth Proportional to 385.77, 578.49 and 142.14

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Solution

The fourth proportional to 385.77, 578.49 and 142.14 is: 213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.77 : 578.49 = 142.14 : x
  2. Step 2: Convert to fraction form
    385.77/578.49 = 142.14/x
  3. Step 3: Cross multiply
    385.77x = 578.49 × 142.14
  4. Step 4: Simplify right side
    385.77x = 82,226.57
  5. Step 5: Solve for x
    x = 82,226.57/385.77
  6. Step 6: Final answer
    x = 213.15

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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.