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Finding the Fourth Proportional to 205.89, 308.40 and 102.88

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Solution

The fourth proportional to 205.89, 308.40 and 102.88 is: 154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.89 : 308.40 = 102.88 : x
  2. Step 2: Convert to fraction form
    205.89/308.40 = 102.88/x
  3. Step 3: Cross multiply
    205.89x = 308.40 × 102.88
  4. Step 4: Simplify right side
    205.89x = 31,728.19
  5. Step 5: Solve for x
    x = 31,728.19/205.89
  6. Step 6: Final answer
    x = 154.10

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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.