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Finding the Fourth Proportional to 205.30, 307.69 and 83.50

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Solution

The fourth proportional to 205.30, 307.69 and 83.50 is: 125.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.30 : 307.69 = 83.50 : x
  2. Step 2: Convert to fraction form
    205.30/307.69 = 83.50/x
  3. Step 3: Cross multiply
    205.30x = 307.69 × 83.50
  4. Step 4: Simplify right side
    205.30x = 25,691.88
  5. Step 5: Solve for x
    x = 25,691.88/205.30
  6. Step 6: Final answer
    x = 125.14

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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.