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Finding the Fourth Proportional to 231.86, 319.56 and 205.04

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Solution

The fourth proportional to 231.86, 319.56 and 205.04 is: 282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.86 : 319.56 = 205.04 : x
  2. Step 2: Convert to fraction form
    231.86/319.56 = 205.04/x
  3. Step 3: Cross multiply
    231.86x = 319.56 × 205.04
  4. Step 4: Simplify right side
    231.86x = 65,522.58
  5. Step 5: Solve for x
    x = 65,522.58/231.86
  6. Step 6: Final answer
    x = 282.60

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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.