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Finding the Fourth Proportional to 205.63, 308.57 and 77.38

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Solution

The fourth proportional to 205.63, 308.57 and 77.38 is: 116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.63 : 308.57 = 77.38 : x
  2. Step 2: Convert to fraction form
    205.63/308.57 = 77.38/x
  3. Step 3: Cross multiply
    205.63x = 308.57 × 77.38
  4. Step 4: Simplify right side
    205.63x = 23,877.15
  5. Step 5: Solve for x
    x = 23,877.15/205.63
  6. Step 6: Final answer
    x = 116.12

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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.