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Finding the Fourth Proportional to 174.41, 260.82 and 130.57

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Solution

The fourth proportional to 174.41, 260.82 and 130.57 is: 195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.41 : 260.82 = 130.57 : x
  2. Step 2: Convert to fraction form
    174.41/260.82 = 130.57/x
  3. Step 3: Cross multiply
    174.41x = 260.82 × 130.57
  4. Step 4: Simplify right side
    174.41x = 34,055.27
  5. Step 5: Solve for x
    x = 34,055.27/174.41
  6. Step 6: Final answer
    x = 195.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.