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Finding the Fourth Proportional to 260.91, 360.20 and 199.00

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Solution

The fourth proportional to 260.91, 360.20 and 199.00 is: 274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.91 : 360.20 = 199.00 : x
  2. Step 2: Convert to fraction form
    260.91/360.20 = 199.00/x
  3. Step 3: Cross multiply
    260.91x = 360.20 × 199.00
  4. Step 4: Simplify right side
    260.91x = 71,677.90
  5. Step 5: Solve for x
    x = 71,677.90/260.91
  6. Step 6: Final answer
    x = 274.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.