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Finding the Fourth Proportional to 226.57, 338.02 and 210.03

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Solution

The fourth proportional to 226.57, 338.02 and 210.03 is: 313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.57 : 338.02 = 210.03 : x
  2. Step 2: Convert to fraction form
    226.57/338.02 = 210.03/x
  3. Step 3: Cross multiply
    226.57x = 338.02 × 210.03
  4. Step 4: Simplify right side
    226.57x = 70,993.29
  5. Step 5: Solve for x
    x = 70,993.29/226.57
  6. Step 6: Final answer
    x = 313.34

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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.