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Finding the Fourth Proportional to 226.21, 339.54 and 152.85

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Solution

The fourth proportional to 226.21, 339.54 and 152.85 is: 229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.21 : 339.54 = 152.85 : x
  2. Step 2: Convert to fraction form
    226.21/339.54 = 152.85/x
  3. Step 3: Cross multiply
    226.21x = 339.54 × 152.85
  4. Step 4: Simplify right side
    226.21x = 51,900.25
  5. Step 5: Solve for x
    x = 51,900.25/226.21
  6. Step 6: Final answer
    x = 229.43

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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.