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Finding the Fourth Proportional to 231.96, 319.77 and 166.35

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Solution

The fourth proportional to 231.96, 319.77 and 166.35 is: 229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.96 : 319.77 = 166.35 : x
  2. Step 2: Convert to fraction form
    231.96/319.77 = 166.35/x
  3. Step 3: Cross multiply
    231.96x = 319.77 × 166.35
  4. Step 4: Simplify right side
    231.96x = 53,193.74
  5. Step 5: Solve for x
    x = 53,193.74/231.96
  6. Step 6: Final answer
    x = 229.32

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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.