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Finding the Fourth Proportional to 235.06, 350.77 and 226.24

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Solution

The fourth proportional to 235.06, 350.77 and 226.24 is: 337.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.06 : 350.77 = 226.24 : x
  2. Step 2: Convert to fraction form
    235.06/350.77 = 226.24/x
  3. Step 3: Cross multiply
    235.06x = 350.77 × 226.24
  4. Step 4: Simplify right side
    235.06x = 79,358.20
  5. Step 5: Solve for x
    x = 79,358.20/235.06
  6. Step 6: Final answer
    x = 337.61

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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.