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Finding the Fourth Proportional to 193.68, 267.01 and 167.35

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Solution

The fourth proportional to 193.68, 267.01 and 167.35 is: 230.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.68 : 267.01 = 167.35 : x
  2. Step 2: Convert to fraction form
    193.68/267.01 = 167.35/x
  3. Step 3: Cross multiply
    193.68x = 267.01 × 167.35
  4. Step 4: Simplify right side
    193.68x = 44,684.12
  5. Step 5: Solve for x
    x = 44,684.12/193.68
  6. Step 6: Final answer
    x = 230.71

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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.