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Finding the Fourth Proportional to 205.83, 284.03 and 117.31

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Solution

The fourth proportional to 205.83, 284.03 and 117.31 is: 161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.83 : 284.03 = 117.31 : x
  2. Step 2: Convert to fraction form
    205.83/284.03 = 117.31/x
  3. Step 3: Cross multiply
    205.83x = 284.03 × 117.31
  4. Step 4: Simplify right side
    205.83x = 33,319.14
  5. Step 5: Solve for x
    x = 33,319.14/205.83
  6. Step 6: Final answer
    x = 161.88

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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.