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Finding the Fourth Proportional to 231.39, 319.16 and 165.75

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Solution

The fourth proportional to 231.39, 319.16 and 165.75 is: 228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.39 : 319.16 = 165.75 : x
  2. Step 2: Convert to fraction form
    231.39/319.16 = 165.75/x
  3. Step 3: Cross multiply
    231.39x = 319.16 × 165.75
  4. Step 4: Simplify right side
    231.39x = 52,899.94
  5. Step 5: Solve for x
    x = 52,899.94/231.39
  6. Step 6: Final answer
    x = 228.62

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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.