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Finding the Fourth Proportional to 231.59, 346.05 and 205.87

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Solution

The fourth proportional to 231.59, 346.05 and 205.87 is: 307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.59 : 346.05 = 205.87 : x
  2. Step 2: Convert to fraction form
    231.59/346.05 = 205.87/x
  3. Step 3: Cross multiply
    231.59x = 346.05 × 205.87
  4. Step 4: Simplify right side
    231.59x = 71,241.31
  5. Step 5: Solve for x
    x = 71,241.31/231.59
  6. Step 6: Final answer
    x = 307.62

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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.