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Finding the Fourth Proportional to 385.50, 578.36 and 142.03

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Solution

The fourth proportional to 385.50, 578.36 and 142.03 is: 213.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.50 : 578.36 = 142.03 : x
  2. Step 2: Convert to fraction form
    385.50/578.36 = 142.03/x
  3. Step 3: Cross multiply
    385.50x = 578.36 × 142.03
  4. Step 4: Simplify right side
    385.50x = 82,143.38
  5. Step 5: Solve for x
    x = 82,143.38/385.50
  6. Step 6: Final answer
    x = 213.08

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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.