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Finding the Fourth Proportional to 336.92, 464.67 and 226.35

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Solution

The fourth proportional to 336.92, 464.67 and 226.35 is: 312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.92 : 464.67 = 226.35 : x
  2. Step 2: Convert to fraction form
    336.92/464.67 = 226.35/x
  3. Step 3: Cross multiply
    336.92x = 464.67 × 226.35
  4. Step 4: Simplify right side
    336.92x = 105,178.05
  5. Step 5: Solve for x
    x = 105,178.05/336.92
  6. Step 6: Final answer
    x = 312.18

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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.