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Finding the Fourth Proportional to 174.80, 260.31 and 171.76

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Solution

The fourth proportional to 174.80, 260.31 and 171.76 is: 255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.80 : 260.31 = 171.76 : x
  2. Step 2: Convert to fraction form
    174.80/260.31 = 171.76/x
  3. Step 3: Cross multiply
    174.80x = 260.31 × 171.76
  4. Step 4: Simplify right side
    174.80x = 44,709.99
  5. Step 5: Solve for x
    x = 44,709.99/174.80
  6. Step 6: Final answer
    x = 255.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.