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Finding the Fourth Proportional to 193.69, 267.29 and 106.36

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Solution

The fourth proportional to 193.69, 267.29 and 106.36 is: 146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.69 : 267.29 = 106.36 : x
  2. Step 2: Convert to fraction form
    193.69/267.29 = 106.36/x
  3. Step 3: Cross multiply
    193.69x = 267.29 × 106.36
  4. Step 4: Simplify right side
    193.69x = 28,428.96
  5. Step 5: Solve for x
    x = 28,428.96/193.69
  6. Step 6: Final answer
    x = 146.78

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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.