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Finding the Fourth Proportional to 231.81, 319.59 and 166.20

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Solution

The fourth proportional to 231.81, 319.59 and 166.20 is: 229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.81 : 319.59 = 166.20 : x
  2. Step 2: Convert to fraction form
    231.81/319.59 = 166.20/x
  3. Step 3: Cross multiply
    231.81x = 319.59 × 166.20
  4. Step 4: Simplify right side
    231.81x = 53,115.86
  5. Step 5: Solve for x
    x = 53,115.86/231.81
  6. Step 6: Final answer
    x = 229.14

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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.