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Finding the Fourth Proportional to 193.30, 266.84 and 123.36

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Solution

The fourth proportional to 193.30, 266.84 and 123.36 is: 170.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.30 : 266.84 = 123.36 : x
  2. Step 2: Convert to fraction form
    193.30/266.84 = 123.36/x
  3. Step 3: Cross multiply
    193.30x = 266.84 × 123.36
  4. Step 4: Simplify right side
    193.30x = 32,917.43
  5. Step 5: Solve for x
    x = 32,917.43/193.30
  6. Step 6: Final answer
    x = 170.29

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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.