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Finding the Fourth Proportional to 360.18, 539.82 and 206.19

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Solution

The fourth proportional to 360.18, 539.82 and 206.19 is: 309.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.18 : 539.82 = 206.19 : x
  2. Step 2: Convert to fraction form
    360.18/539.82 = 206.19/x
  3. Step 3: Cross multiply
    360.18x = 539.82 × 206.19
  4. Step 4: Simplify right side
    360.18x = 111,305.49
  5. Step 5: Solve for x
    x = 111,305.49/360.18
  6. Step 6: Final answer
    x = 309.03

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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.