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Finding the Fourth Proportional to 205.19, 307.37 and 96.65

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Solution

The fourth proportional to 205.19, 307.37 and 96.65 is: 144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.19 : 307.37 = 96.65 : x
  2. Step 2: Convert to fraction form
    205.19/307.37 = 96.65/x
  3. Step 3: Cross multiply
    205.19x = 307.37 × 96.65
  4. Step 4: Simplify right side
    205.19x = 29,706.02
  5. Step 5: Solve for x
    x = 29,706.02/205.19
  6. Step 6: Final answer
    x = 144.78

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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.