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Finding the Fourth Proportional to 260.89, 360.20 and 201.78

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Solution

The fourth proportional to 260.89, 360.20 and 201.78 is: 278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.89 : 360.20 = 201.78 : x
  2. Step 2: Convert to fraction form
    260.89/360.20 = 201.78/x
  3. Step 3: Cross multiply
    260.89x = 360.20 × 201.78
  4. Step 4: Simplify right side
    260.89x = 72,681.16
  5. Step 5: Solve for x
    x = 72,681.16/260.89
  6. Step 6: Final answer
    x = 278.59

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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.