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Finding the Fourth Proportional to 385.68, 578.56 and 142.16

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Solution

The fourth proportional to 385.68, 578.56 and 142.16 is: 213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.68 : 578.56 = 142.16 : x
  2. Step 2: Convert to fraction form
    385.68/578.56 = 142.16/x
  3. Step 3: Cross multiply
    385.68x = 578.56 × 142.16
  4. Step 4: Simplify right side
    385.68x = 82,248.09
  5. Step 5: Solve for x
    x = 82,248.09/385.68
  6. Step 6: Final answer
    x = 213.25

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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.