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Finding the Fourth Proportional to 174.14, 260.11 and 173.24

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Solution

The fourth proportional to 174.14, 260.11 and 173.24 is: 258.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.14 : 260.11 = 173.24 : x
  2. Step 2: Convert to fraction form
    174.14/260.11 = 173.24/x
  3. Step 3: Cross multiply
    174.14x = 260.11 × 173.24
  4. Step 4: Simplify right side
    174.14x = 45,061.46
  5. Step 5: Solve for x
    x = 45,061.46/174.14
  6. Step 6: Final answer
    x = 258.77

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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.