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Finding the Fourth Proportional to 205.83, 309.05 and 97.70

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Solution

The fourth proportional to 205.83, 309.05 and 97.70 is: 146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.83 : 309.05 = 97.70 : x
  2. Step 2: Convert to fraction form
    205.83/309.05 = 97.70/x
  3. Step 3: Cross multiply
    205.83x = 309.05 × 97.70
  4. Step 4: Simplify right side
    205.83x = 30,192.15
  5. Step 5: Solve for x
    x = 30,192.15/205.83
  6. Step 6: Final answer
    x = 146.68

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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.