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Finding the Fourth Proportional to 205.69, 308.24 and 119.02

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Solution

The fourth proportional to 205.69, 308.24 and 119.02 is: 178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.69 : 308.24 = 119.02 : x
  2. Step 2: Convert to fraction form
    205.69/308.24 = 119.02/x
  3. Step 3: Cross multiply
    205.69x = 308.24 × 119.02
  4. Step 4: Simplify right side
    205.69x = 36,686.72
  5. Step 5: Solve for x
    x = 36,686.72/205.69
  6. Step 6: Final answer
    x = 178.36

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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.