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Finding the Fourth Proportional to 167.81, 230.85 and 154.76

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Solution

The fourth proportional to 167.81, 230.85 and 154.76 is: 212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.81 : 230.85 = 154.76 : x
  2. Step 2: Convert to fraction form
    167.81/230.85 = 154.76/x
  3. Step 3: Cross multiply
    167.81x = 230.85 × 154.76
  4. Step 4: Simplify right side
    167.81x = 35,725.19
  5. Step 5: Solve for x
    x = 35,725.19/167.81
  6. Step 6: Final answer
    x = 212.90

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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.