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Finding the Fourth Proportional to 169.61, 233.84 and 167.31

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Solution

The fourth proportional to 169.61, 233.84 and 167.31 is: 230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.61 : 233.84 = 167.31 : x
  2. Step 2: Convert to fraction form
    169.61/233.84 = 167.31/x
  3. Step 3: Cross multiply
    169.61x = 233.84 × 167.31
  4. Step 4: Simplify right side
    169.61x = 39,123.25
  5. Step 5: Solve for x
    x = 39,123.25/169.61
  6. Step 6: Final answer
    x = 230.67

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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.