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Finding the Fourth Proportional to 226.48, 338.03 and 210.04

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Solution

The fourth proportional to 226.48, 338.03 and 210.04 is: 313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.48 : 338.03 = 210.04 : x
  2. Step 2: Convert to fraction form
    226.48/338.03 = 210.04/x
  3. Step 3: Cross multiply
    226.48x = 338.03 × 210.04
  4. Step 4: Simplify right side
    226.48x = 70,999.82
  5. Step 5: Solve for x
    x = 70,999.82/226.48
  6. Step 6: Final answer
    x = 313.49

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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.