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Finding the Fourth Proportional to 385.47, 578.28 and 142.02

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Solution

The fourth proportional to 385.47, 578.28 and 142.02 is: 213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.47 : 578.28 = 142.02 : x
  2. Step 2: Convert to fraction form
    385.47/578.28 = 142.02/x
  3. Step 3: Cross multiply
    385.47x = 578.28 × 142.02
  4. Step 4: Simplify right side
    385.47x = 82,127.33
  5. Step 5: Solve for x
    x = 82,127.33/385.47
  6. Step 6: Final answer
    x = 213.06

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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.