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Finding the Fourth Proportional to 362.30, 543.21 and 156.59

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Solution

The fourth proportional to 362.30, 543.21 and 156.59 is: 234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.30 : 543.21 = 156.59 : x
  2. Step 2: Convert to fraction form
    362.30/543.21 = 156.59/x
  3. Step 3: Cross multiply
    362.30x = 543.21 × 156.59
  4. Step 4: Simplify right side
    362.30x = 85,061.25
  5. Step 5: Solve for x
    x = 85,061.25/362.30
  6. Step 6: Final answer
    x = 234.78

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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.