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Finding the Fourth Proportional to 362.70, 543.90 and 167.58

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Solution

The fourth proportional to 362.70, 543.90 and 167.58 is: 251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.70 : 543.90 = 167.58 : x
  2. Step 2: Convert to fraction form
    362.70/543.90 = 167.58/x
  3. Step 3: Cross multiply
    362.70x = 543.90 × 167.58
  4. Step 4: Simplify right side
    362.70x = 91,146.76
  5. Step 5: Solve for x
    x = 91,146.76/362.70
  6. Step 6: Final answer
    x = 251.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.