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Finding the Fourth Proportional to 260.81, 359.96 and 177.86

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Solution

The fourth proportional to 260.81, 359.96 and 177.86 is: 245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.81 : 359.96 = 177.86 : x
  2. Step 2: Convert to fraction form
    260.81/359.96 = 177.86/x
  3. Step 3: Cross multiply
    260.81x = 359.96 × 177.86
  4. Step 4: Simplify right side
    260.81x = 64,022.49
  5. Step 5: Solve for x
    x = 64,022.49/260.81
  6. Step 6: Final answer
    x = 245.48

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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.