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Finding the Fourth Proportional to 205.07, 308.25 and 171.05

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Solution

The fourth proportional to 205.07, 308.25 and 171.05 is: 257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.07 : 308.25 = 171.05 : x
  2. Step 2: Convert to fraction form
    205.07/308.25 = 171.05/x
  3. Step 3: Cross multiply
    205.07x = 308.25 × 171.05
  4. Step 4: Simplify right side
    205.07x = 52,726.16
  5. Step 5: Solve for x
    x = 52,726.16/205.07
  6. Step 6: Final answer
    x = 257.11

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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.