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Finding the Fourth Proportional to 231.75, 345.39 and 229.84

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Solution

The fourth proportional to 231.75, 345.39 and 229.84 is: 342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.75 : 345.39 = 229.84 : x
  2. Step 2: Convert to fraction form
    231.75/345.39 = 229.84/x
  3. Step 3: Cross multiply
    231.75x = 345.39 × 229.84
  4. Step 4: Simplify right side
    231.75x = 79,384.44
  5. Step 5: Solve for x
    x = 79,384.44/231.75
  6. Step 6: Final answer
    x = 342.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.