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Finding the Fourth Proportional to 226.06, 312.42 and 204.10

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Solution

The fourth proportional to 226.06, 312.42 and 204.10 is: 282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.06 : 312.42 = 204.10 : x
  2. Step 2: Convert to fraction form
    226.06/312.42 = 204.10/x
  3. Step 3: Cross multiply
    226.06x = 312.42 × 204.10
  4. Step 4: Simplify right side
    226.06x = 63,764.92
  5. Step 5: Solve for x
    x = 63,764.92/226.06
  6. Step 6: Final answer
    x = 282.07

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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.