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Finding the Fourth Proportional to 362.81, 543.50 and 167.55

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Solution

The fourth proportional to 362.81, 543.50 and 167.55 is: 250.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.81 : 543.50 = 167.55 : x
  2. Step 2: Convert to fraction form
    362.81/543.50 = 167.55/x
  3. Step 3: Cross multiply
    362.81x = 543.50 × 167.55
  4. Step 4: Simplify right side
    362.81x = 91,061.58
  5. Step 5: Solve for x
    x = 91,061.58/362.81
  6. Step 6: Final answer
    x = 250.99

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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.