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Finding the Fourth Proportional to 362, 542.49 and 156.41

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Solution

The fourth proportional to 362, 542.49 and 156.41 is: 234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    362 : 542.49 = 156.41 : x
  2. Step 2: Convert to fraction form
    362/542.49 = 156.41/x
  3. Step 3: Cross multiply
    362x = 542.49 × 156.41
  4. Step 4: Simplify right side
    362x = 84,850.86
  5. Step 5: Solve for x
    x = 84,850.86/362
  6. Step 6: Final answer
    x = 234.39

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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.