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Finding the Fourth Proportional to 385.60, 578.38 and 142.11

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Solution

The fourth proportional to 385.60, 578.38 and 142.11 is: 213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.60 : 578.38 = 142.11 : x
  2. Step 2: Convert to fraction form
    385.60/578.38 = 142.11/x
  3. Step 3: Cross multiply
    385.60x = 578.38 × 142.11
  4. Step 4: Simplify right side
    385.60x = 82,193.58
  5. Step 5: Solve for x
    x = 82,193.58/385.60
  6. Step 6: Final answer
    x = 213.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.