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Finding the Fourth Proportional to 197.71, 296.38 and 129.25

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Solution

The fourth proportional to 197.71, 296.38 and 129.25 is: 193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.71 : 296.38 = 129.25 : x
  2. Step 2: Convert to fraction form
    197.71/296.38 = 129.25/x
  3. Step 3: Cross multiply
    197.71x = 296.38 × 129.25
  4. Step 4: Simplify right side
    197.71x = 38,307.12
  5. Step 5: Solve for x
    x = 38,307.12/197.71
  6. Step 6: Final answer
    x = 193.75

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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.