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Finding the Fourth Proportional to 193.05, 266.26 and 123.05

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Solution

The fourth proportional to 193.05, 266.26 and 123.05 is: 169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.05 : 266.26 = 123.05 : x
  2. Step 2: Convert to fraction form
    193.05/266.26 = 123.05/x
  3. Step 3: Cross multiply
    193.05x = 266.26 × 123.05
  4. Step 4: Simplify right side
    193.05x = 32,761.96
  5. Step 5: Solve for x
    x = 32,761.96/193.05
  6. Step 6: Final answer
    x = 169.71

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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.