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Finding the Fourth Proportional to 205.39, 307.85 and 181.04

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Solution

The fourth proportional to 205.39, 307.85 and 181.04 is: 271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.39 : 307.85 = 181.04 : x
  2. Step 2: Convert to fraction form
    205.39/307.85 = 181.04/x
  3. Step 3: Cross multiply
    205.39x = 307.85 × 181.04
  4. Step 4: Simplify right side
    205.39x = 55,731.74
  5. Step 5: Solve for x
    x = 55,731.74/205.39
  6. Step 6: Final answer
    x = 271.35

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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.