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Finding the Fourth Proportional to 260.97, 360.20 and 178.11

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Solution

The fourth proportional to 260.97, 360.20 and 178.11 is: 245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.97 : 360.20 = 178.11 : x
  2. Step 2: Convert to fraction form
    260.97/360.20 = 178.11/x
  3. Step 3: Cross multiply
    260.97x = 360.20 × 178.11
  4. Step 4: Simplify right side
    260.97x = 64,155.22
  5. Step 5: Solve for x
    x = 64,155.22/260.97
  6. Step 6: Final answer
    x = 245.83

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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.