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Finding the Fourth Proportional to 205.89, 284.13 and 117.38

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Solution

The fourth proportional to 205.89, 284.13 and 117.38 is: 161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.89 : 284.13 = 117.38 : x
  2. Step 2: Convert to fraction form
    205.89/284.13 = 117.38/x
  3. Step 3: Cross multiply
    205.89x = 284.13 × 117.38
  4. Step 4: Simplify right side
    205.89x = 33,350.38
  5. Step 5: Solve for x
    x = 33,350.38/205.89
  6. Step 6: Final answer
    x = 161.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.