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Finding the Fourth Proportional to 193.46, 266.85 and 123.47

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Solution

The fourth proportional to 193.46, 266.85 and 123.47 is: 170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.46 : 266.85 = 123.47 : x
  2. Step 2: Convert to fraction form
    193.46/266.85 = 123.47/x
  3. Step 3: Cross multiply
    193.46x = 266.85 × 123.47
  4. Step 4: Simplify right side
    193.46x = 32,947.97
  5. Step 5: Solve for x
    x = 32,947.97/193.46
  6. Step 6: Final answer
    x = 170.31

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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.