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Finding the Fourth Proportional to 193.26, 266.74 and 115.68

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Solution

The fourth proportional to 193.26, 266.74 and 115.68 is: 159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.26 : 266.74 = 115.68 : x
  2. Step 2: Convert to fraction form
    193.26/266.74 = 115.68/x
  3. Step 3: Cross multiply
    193.26x = 266.74 × 115.68
  4. Step 4: Simplify right side
    193.26x = 30,856.48
  5. Step 5: Solve for x
    x = 30,856.48/193.26
  6. Step 6: Final answer
    x = 159.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.