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Finding the Fourth Proportional to 226.35, 312.81 and 199.25

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Solution

The fourth proportional to 226.35, 312.81 and 199.25 is: 275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.35 : 312.81 = 199.25 : x
  2. Step 2: Convert to fraction form
    226.35/312.81 = 199.25/x
  3. Step 3: Cross multiply
    226.35x = 312.81 × 199.25
  4. Step 4: Simplify right side
    226.35x = 62,325.83
  5. Step 5: Solve for x
    x = 62,325.83/226.35
  6. Step 6: Final answer
    x = 275.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.