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Finding the Fourth Proportional to 360.67, 539.87 and 195.91

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Solution

The fourth proportional to 360.67, 539.87 and 195.91 is: 293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.67 : 539.87 = 195.91 : x
  2. Step 2: Convert to fraction form
    360.67/539.87 = 195.91/x
  3. Step 3: Cross multiply
    360.67x = 539.87 × 195.91
  4. Step 4: Simplify right side
    360.67x = 105,765.93
  5. Step 5: Solve for x
    x = 105,765.93/360.67
  6. Step 6: Final answer
    x = 293.25

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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.