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Finding the Fourth Proportional to 231.96, 319.16 and 230.34

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Solution

The fourth proportional to 231.96, 319.16 and 230.34 is: 316.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.96 : 319.16 = 230.34 : x
  2. Step 2: Convert to fraction form
    231.96/319.16 = 230.34/x
  3. Step 3: Cross multiply
    231.96x = 319.16 × 230.34
  4. Step 4: Simplify right side
    231.96x = 73,515.31
  5. Step 5: Solve for x
    x = 73,515.31/231.96
  6. Step 6: Final answer
    x = 316.93

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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.