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Finding the Fourth Proportional to 167.58, 231.48 and 140.04

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Solution

The fourth proportional to 167.58, 231.48 and 140.04 is: 193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.58 : 231.48 = 140.04 : x
  2. Step 2: Convert to fraction form
    167.58/231.48 = 140.04/x
  3. Step 3: Cross multiply
    167.58x = 231.48 × 140.04
  4. Step 4: Simplify right side
    167.58x = 32,416.46
  5. Step 5: Solve for x
    x = 32,416.46/167.58
  6. Step 6: Final answer
    x = 193.44

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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.