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Finding the Fourth Proportional to 193.80, 266.76 and 169.04

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Solution

The fourth proportional to 193.80, 266.76 and 169.04 is: 232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.80 : 266.76 = 169.04 : x
  2. Step 2: Convert to fraction form
    193.80/266.76 = 169.04/x
  3. Step 3: Cross multiply
    193.80x = 266.76 × 169.04
  4. Step 4: Simplify right side
    193.80x = 45,093.11
  5. Step 5: Solve for x
    x = 45,093.11/193.80
  6. Step 6: Final answer
    x = 232.68

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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.