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Finding the Fourth Proportional to 260.89, 360.20 and 177.96

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Solution

The fourth proportional to 260.89, 360.20 and 177.96 is: 245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.89 : 360.20 = 177.96 : x
  2. Step 2: Convert to fraction form
    260.89/360.20 = 177.96/x
  3. Step 3: Cross multiply
    260.89x = 360.20 × 177.96
  4. Step 4: Simplify right side
    260.89x = 64,101.64
  5. Step 5: Solve for x
    x = 64,101.64/260.89
  6. Step 6: Final answer
    x = 245.71

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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.