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Finding the Fourth Proportional to 378.86, 567.95 and 159.12

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Solution

The fourth proportional to 378.86, 567.95 and 159.12 is: 238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.86 : 567.95 = 159.12 : x
  2. Step 2: Convert to fraction form
    378.86/567.95 = 159.12/x
  3. Step 3: Cross multiply
    378.86x = 567.95 × 159.12
  4. Step 4: Simplify right side
    378.86x = 90,371.41
  5. Step 5: Solve for x
    x = 90,371.41/378.86
  6. Step 6: Final answer
    x = 238.54

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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.