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Finding the Fourth Proportional to 205.29, 307.83 and 136.74

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Solution

The fourth proportional to 205.29, 307.83 and 136.74 is: 205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.29 : 307.83 = 136.74 : x
  2. Step 2: Convert to fraction form
    205.29/307.83 = 136.74/x
  3. Step 3: Cross multiply
    205.29x = 307.83 × 136.74
  4. Step 4: Simplify right side
    205.29x = 42,092.67
  5. Step 5: Solve for x
    x = 42,092.67/205.29
  6. Step 6: Final answer
    x = 205.04

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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.