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Finding the Fourth Proportional to 205.89, 308.84 and 59.66

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Solution

The fourth proportional to 205.89, 308.84 and 59.66 is: 89.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.89 : 308.84 = 59.66 : x
  2. Step 2: Convert to fraction form
    205.89/308.84 = 59.66/x
  3. Step 3: Cross multiply
    205.89x = 308.84 × 59.66
  4. Step 4: Simplify right side
    205.89x = 18,424.00
  5. Step 5: Solve for x
    x = 18,424.00/205.89
  6. Step 6: Final answer
    x = 89.48

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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.