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Finding the Fourth Proportional to 167.90, 230.12 and 167.62

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Solution

The fourth proportional to 167.90, 230.12 and 167.62 is: 229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.90 : 230.12 = 167.62 : x
  2. Step 2: Convert to fraction form
    167.90/230.12 = 167.62/x
  3. Step 3: Cross multiply
    167.90x = 230.12 × 167.62
  4. Step 4: Simplify right side
    167.90x = 38,572.71
  5. Step 5: Solve for x
    x = 38,572.71/167.90
  6. Step 6: Final answer
    x = 229.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.