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Finding the Fourth Proportional to 231.78, 319.71 and 166.38

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Solution

The fourth proportional to 231.78, 319.71 and 166.38 is: 229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.78 : 319.71 = 166.38 : x
  2. Step 2: Convert to fraction form
    231.78/319.71 = 166.38/x
  3. Step 3: Cross multiply
    231.78x = 319.71 × 166.38
  4. Step 4: Simplify right side
    231.78x = 53,193.35
  5. Step 5: Solve for x
    x = 53,193.35/231.78
  6. Step 6: Final answer
    x = 229.50

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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.