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Finding the Fourth Proportional to 193.20, 266.32 and 123.16

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Solution

The fourth proportional to 193.20, 266.32 and 123.16 is: 169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.20 : 266.32 = 123.16 : x
  2. Step 2: Convert to fraction form
    193.20/266.32 = 123.16/x
  3. Step 3: Cross multiply
    193.20x = 266.32 × 123.16
  4. Step 4: Simplify right side
    193.20x = 32,799.97
  5. Step 5: Solve for x
    x = 32,799.97/193.20
  6. Step 6: Final answer
    x = 169.77

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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.