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Finding the Fourth Proportional to 205.27, 307.87 and 171.25

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Solution

The fourth proportional to 205.27, 307.87 and 171.25 is: 256.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.27 : 307.87 = 171.25 : x
  2. Step 2: Convert to fraction form
    205.27/307.87 = 171.25/x
  3. Step 3: Cross multiply
    205.27x = 307.87 × 171.25
  4. Step 4: Simplify right side
    205.27x = 52,722.74
  5. Step 5: Solve for x
    x = 52,722.74/205.27
  6. Step 6: Final answer
    x = 256.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.