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Finding the Fourth Proportional to 205.77, 284.40 and 162.03

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Solution

The fourth proportional to 205.77, 284.40 and 162.03 is: 223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.77 : 284.40 = 162.03 : x
  2. Step 2: Convert to fraction form
    205.77/284.40 = 162.03/x
  3. Step 3: Cross multiply
    205.77x = 284.40 × 162.03
  4. Step 4: Simplify right side
    205.77x = 46,081.33
  5. Step 5: Solve for x
    x = 46,081.33/205.77
  6. Step 6: Final answer
    x = 223.95

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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.