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Finding the Fourth Proportional to 360.80, 540.88 and 206.72

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Solution

The fourth proportional to 360.80, 540.88 and 206.72 is: 309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.80 : 540.88 = 206.72 : x
  2. Step 2: Convert to fraction form
    360.80/540.88 = 206.72/x
  3. Step 3: Cross multiply
    360.80x = 540.88 × 206.72
  4. Step 4: Simplify right side
    360.80x = 111,810.71
  5. Step 5: Solve for x
    x = 111,810.71/360.80
  6. Step 6: Final answer
    x = 309.90

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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.