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Finding the Fourth Proportional to 226.55, 313.06 and 204.41

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Solution

The fourth proportional to 226.55, 313.06 and 204.41 is: 282.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.55 : 313.06 = 204.41 : x
  2. Step 2: Convert to fraction form
    226.55/313.06 = 204.41/x
  3. Step 3: Cross multiply
    226.55x = 313.06 × 204.41
  4. Step 4: Simplify right side
    226.55x = 63,992.59
  5. Step 5: Solve for x
    x = 63,992.59/226.55
  6. Step 6: Final answer
    x = 282.47

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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.