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Finding the Fourth Proportional to 231.50, 319.20 and 165.89

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Solution

The fourth proportional to 231.50, 319.20 and 165.89 is: 228.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.50 : 319.20 = 165.89 : x
  2. Step 2: Convert to fraction form
    231.50/319.20 = 165.89/x
  3. Step 3: Cross multiply
    231.50x = 319.20 × 165.89
  4. Step 4: Simplify right side
    231.50x = 52,952.09
  5. Step 5: Solve for x
    x = 52,952.09/231.50
  6. Step 6: Final answer
    x = 228.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.