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Finding the Fourth Proportional to 235.82, 350.64 and 226.10

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Solution

The fourth proportional to 235.82, 350.64 and 226.10 is: 336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.82 : 350.64 = 226.10 : x
  2. Step 2: Convert to fraction form
    235.82/350.64 = 226.10/x
  3. Step 3: Cross multiply
    235.82x = 350.64 × 226.10
  4. Step 4: Simplify right side
    235.82x = 79,277.95
  5. Step 5: Solve for x
    x = 79,277.95/235.82
  6. Step 6: Final answer
    x = 336.19

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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.