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Finding the Fourth Proportional to 231.42, 319.63 and 169.15

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Solution

The fourth proportional to 231.42, 319.63 and 169.15 is: 233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.42 : 319.63 = 169.15 : x
  2. Step 2: Convert to fraction form
    231.42/319.63 = 169.15/x
  3. Step 3: Cross multiply
    231.42x = 319.63 × 169.15
  4. Step 4: Simplify right side
    231.42x = 54,065.41
  5. Step 5: Solve for x
    x = 54,065.41/231.42
  6. Step 6: Final answer
    x = 233.62

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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.