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Finding the Fourth Proportional to 226.74, 313.02 and 204.60

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Solution

The fourth proportional to 226.74, 313.02 and 204.60 is: 282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.74 : 313.02 = 204.60 : x
  2. Step 2: Convert to fraction form
    226.74/313.02 = 204.60/x
  3. Step 3: Cross multiply
    226.74x = 313.02 × 204.60
  4. Step 4: Simplify right side
    226.74x = 64,043.89
  5. Step 5: Solve for x
    x = 64,043.89/226.74
  6. Step 6: Final answer
    x = 282.46

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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.