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Finding the Fourth Proportional to 385.80, 578.64 and 142.14

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Solution

The fourth proportional to 385.80, 578.64 and 142.14 is: 213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.80 : 578.64 = 142.14 : x
  2. Step 2: Convert to fraction form
    385.80/578.64 = 142.14/x
  3. Step 3: Cross multiply
    385.80x = 578.64 × 142.14
  4. Step 4: Simplify right side
    385.80x = 82,247.34
  5. Step 5: Solve for x
    x = 82,247.34/385.80
  6. Step 6: Final answer
    x = 213.19

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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.