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Finding the Fourth Proportional to 174.71, 263.08 and 129.38

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Solution

The fourth proportional to 174.71, 263.08 and 129.38 is: 194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.71 : 263.08 = 129.38 : x
  2. Step 2: Convert to fraction form
    174.71/263.08 = 129.38/x
  3. Step 3: Cross multiply
    174.71x = 263.08 × 129.38
  4. Step 4: Simplify right side
    174.71x = 34,037.45
  5. Step 5: Solve for x
    x = 34,037.45/174.71
  6. Step 6: Final answer
    x = 194.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.