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Finding the Fourth Proportional to 231.55, 319.35 and 166.09

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Solution

The fourth proportional to 231.55, 319.35 and 166.09 is: 229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.55 : 319.35 = 166.09 : x
  2. Step 2: Convert to fraction form
    231.55/319.35 = 166.09/x
  3. Step 3: Cross multiply
    231.55x = 319.35 × 166.09
  4. Step 4: Simplify right side
    231.55x = 53,040.84
  5. Step 5: Solve for x
    x = 53,040.84/231.55
  6. Step 6: Final answer
    x = 229.07

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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.