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Finding the Fourth Proportional to 231.14, 319.14 and 165.74

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Solution

The fourth proportional to 231.14, 319.14 and 165.74 is: 228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.14 : 319.14 = 165.74 : x
  2. Step 2: Convert to fraction form
    231.14/319.14 = 165.74/x
  3. Step 3: Cross multiply
    231.14x = 319.14 × 165.74
  4. Step 4: Simplify right side
    231.14x = 52,892.67
  5. Step 5: Solve for x
    x = 52,892.67/231.14
  6. Step 6: Final answer
    x = 228.83

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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.