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Finding the Fourth Proportional to 167.42, 230.80 and 147.84

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Solution

The fourth proportional to 167.42, 230.80 and 147.84 is: 203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.42 : 230.80 = 147.84 : x
  2. Step 2: Convert to fraction form
    167.42/230.80 = 147.84/x
  3. Step 3: Cross multiply
    167.42x = 230.80 × 147.84
  4. Step 4: Simplify right side
    167.42x = 34,121.68
  5. Step 5: Solve for x
    x = 34,121.68/167.42
  6. Step 6: Final answer
    x = 203.81

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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.