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Finding the Fourth Proportional to 205.20, 307.42 and 171.18

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Solution

The fourth proportional to 205.20, 307.42 and 171.18 is: 256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.20 : 307.42 = 171.18 : x
  2. Step 2: Convert to fraction form
    205.20/307.42 = 171.18/x
  3. Step 3: Cross multiply
    205.20x = 307.42 × 171.18
  4. Step 4: Simplify right side
    205.20x = 52,623.73
  5. Step 5: Solve for x
    x = 52,623.73/205.20
  6. Step 6: Final answer
    x = 256.45

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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.