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Finding the Fourth Proportional to 282.38, 389.52 and 193.86

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Solution

The fourth proportional to 282.38, 389.52 and 193.86 is: 267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.38 : 389.52 = 193.86 : x
  2. Step 2: Convert to fraction form
    282.38/389.52 = 193.86/x
  3. Step 3: Cross multiply
    282.38x = 389.52 × 193.86
  4. Step 4: Simplify right side
    282.38x = 75,512.35
  5. Step 5: Solve for x
    x = 75,512.35/282.38
  6. Step 6: Final answer
    x = 267.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.