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Finding the Fourth Proportional to 205.66, 308.45 and 77.38

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Solution

The fourth proportional to 205.66, 308.45 and 77.38 is: 116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.66 : 308.45 = 77.38 : x
  2. Step 2: Convert to fraction form
    205.66/308.45 = 77.38/x
  3. Step 3: Cross multiply
    205.66x = 308.45 × 77.38
  4. Step 4: Simplify right side
    205.66x = 23,866.32
  5. Step 5: Solve for x
    x = 23,866.32/205.66
  6. Step 6: Final answer
    x = 116.05

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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.