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Finding the Fourth Proportional to 260.08, 359.28 and 201.76

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Solution

The fourth proportional to 260.08, 359.28 and 201.76 is: 278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.08 : 359.28 = 201.76 : x
  2. Step 2: Convert to fraction form
    260.08/359.28 = 201.76/x
  3. Step 3: Cross multiply
    260.08x = 359.28 × 201.76
  4. Step 4: Simplify right side
    260.08x = 72,488.33
  5. Step 5: Solve for x
    x = 72,488.33/260.08
  6. Step 6: Final answer
    x = 278.72

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