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Finding the Fourth Proportional to 362.07, 543.44 and 167.18

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Solution

The fourth proportional to 362.07, 543.44 and 167.18 is: 250.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.07 : 543.44 = 167.18 : x
  2. Step 2: Convert to fraction form
    362.07/543.44 = 167.18/x
  3. Step 3: Cross multiply
    362.07x = 543.44 × 167.18
  4. Step 4: Simplify right side
    362.07x = 90,848.75
  5. Step 5: Solve for x
    x = 90,848.75/362.07
  6. Step 6: Final answer
    x = 250.91

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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.