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Finding the Fourth Proportional to 205.98, 284.22 and 117.46

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Solution

The fourth proportional to 205.98, 284.22 and 117.46 is: 162.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.98 : 284.22 = 117.46 : x
  2. Step 2: Convert to fraction form
    205.98/284.22 = 117.46/x
  3. Step 3: Cross multiply
    205.98x = 284.22 × 117.46
  4. Step 4: Simplify right side
    205.98x = 33,384.48
  5. Step 5: Solve for x
    x = 33,384.48/205.98
  6. Step 6: Final answer
    x = 162.08

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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.