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Finding the Fourth Proportional to 226.12, 339.41 and 152.77

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Solution

The fourth proportional to 226.12, 339.41 and 152.77 is: 229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.12 : 339.41 = 152.77 : x
  2. Step 2: Convert to fraction form
    226.12/339.41 = 152.77/x
  3. Step 3: Cross multiply
    226.12x = 339.41 × 152.77
  4. Step 4: Simplify right side
    226.12x = 51,849.97
  5. Step 5: Solve for x
    x = 51,849.97/226.12
  6. Step 6: Final answer
    x = 229.30

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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.