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Finding the Fourth Proportional to 205.94, 284.12 and 123.06

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Solution

The fourth proportional to 205.94, 284.12 and 123.06 is: 169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.94 : 284.12 = 123.06 : x
  2. Step 2: Convert to fraction form
    205.94/284.12 = 123.06/x
  3. Step 3: Cross multiply
    205.94x = 284.12 × 123.06
  4. Step 4: Simplify right side
    205.94x = 34,963.81
  5. Step 5: Solve for x
    x = 34,963.81/205.94
  6. Step 6: Final answer
    x = 169.78

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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.