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Finding the Fourth Proportional to 204.22, 304.79 and 179.92

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Solution

The fourth proportional to 204.22, 304.79 and 179.92 is: 268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.22 : 304.79 = 179.92 : x
  2. Step 2: Convert to fraction form
    204.22/304.79 = 179.92/x
  3. Step 3: Cross multiply
    204.22x = 304.79 × 179.92
  4. Step 4: Simplify right side
    204.22x = 54,837.82
  5. Step 5: Solve for x
    x = 54,837.82/204.22
  6. Step 6: Final answer
    x = 268.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.