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Finding the Fourth Proportional to 193.46, 267.02 and 123.50

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Solution

The fourth proportional to 193.46, 267.02 and 123.50 is: 170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.46 : 267.02 = 123.50 : x
  2. Step 2: Convert to fraction form
    193.46/267.02 = 123.50/x
  3. Step 3: Cross multiply
    193.46x = 267.02 × 123.50
  4. Step 4: Simplify right side
    193.46x = 32,976.35
  5. Step 5: Solve for x
    x = 32,976.35/193.46
  6. Step 6: Final answer
    x = 170.46

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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.