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Finding the Fourth Proportional to 205.29, 307.89 and 89.69

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Solution

The fourth proportional to 205.29, 307.89 and 89.69 is: 134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.29 : 307.89 = 89.69 : x
  2. Step 2: Convert to fraction form
    205.29/307.89 = 89.69/x
  3. Step 3: Cross multiply
    205.29x = 307.89 × 89.69
  4. Step 4: Simplify right side
    205.29x = 27,613.11
  5. Step 5: Solve for x
    x = 27,613.11/205.29
  6. Step 6: Final answer
    x = 134.51

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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.