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Finding the Fourth Proportional to 193.40, 267.17 and 150.29

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Solution

The fourth proportional to 193.40, 267.17 and 150.29 is: 207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.40 : 267.17 = 150.29 : x
  2. Step 2: Convert to fraction form
    193.40/267.17 = 150.29/x
  3. Step 3: Cross multiply
    193.40x = 267.17 × 150.29
  4. Step 4: Simplify right side
    193.40x = 40,152.98
  5. Step 5: Solve for x
    x = 40,152.98/193.40
  6. Step 6: Final answer
    x = 207.62

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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.