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Finding the Fourth Proportional to 205.38, 308.10 and 102.66

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Solution

The fourth proportional to 205.38, 308.10 and 102.66 is: 154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 308.10 = 102.66 : x
  2. Step 2: Convert to fraction form
    205.38/308.10 = 102.66/x
  3. Step 3: Cross multiply
    205.38x = 308.10 × 102.66
  4. Step 4: Simplify right side
    205.38x = 31,629.55
  5. Step 5: Solve for x
    x = 31,629.55/205.38
  6. Step 6: Final answer
    x = 154.00

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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.