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Finding the Fourth Proportional to 226.66, 339.54 and 213.34

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Solution

The fourth proportional to 226.66, 339.54 and 213.34 is: 319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.66 : 339.54 = 213.34 : x
  2. Step 2: Convert to fraction form
    226.66/339.54 = 213.34/x
  3. Step 3: Cross multiply
    226.66x = 339.54 × 213.34
  4. Step 4: Simplify right side
    226.66x = 72,437.46
  5. Step 5: Solve for x
    x = 72,437.46/226.66
  6. Step 6: Final answer
    x = 319.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.