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Finding the Fourth Proportional to 362.42, 543.61 and 167.30

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Solution

The fourth proportional to 362.42, 543.61 and 167.30 is: 250.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.42 : 543.61 = 167.30 : x
  2. Step 2: Convert to fraction form
    362.42/543.61 = 167.30/x
  3. Step 3: Cross multiply
    362.42x = 543.61 × 167.30
  4. Step 4: Simplify right side
    362.42x = 90,945.95
  5. Step 5: Solve for x
    x = 90,945.95/362.42
  6. Step 6: Final answer
    x = 250.94

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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.