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Finding the Fourth Proportional to 260.71, 389.69 and 199.20

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Solution

The fourth proportional to 260.71, 389.69 and 199.20 is: 297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.71 : 389.69 = 199.20 : x
  2. Step 2: Convert to fraction form
    260.71/389.69 = 199.20/x
  3. Step 3: Cross multiply
    260.71x = 389.69 × 199.20
  4. Step 4: Simplify right side
    260.71x = 77,626.25
  5. Step 5: Solve for x
    x = 77,626.25/260.71
  6. Step 6: Final answer
    x = 297.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.