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Finding the Fourth Proportional to 336.82, 465.16 and 226.74

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Solution

The fourth proportional to 336.82, 465.16 and 226.74 is: 313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.82 : 465.16 = 226.74 : x
  2. Step 2: Convert to fraction form
    336.82/465.16 = 226.74/x
  3. Step 3: Cross multiply
    336.82x = 465.16 × 226.74
  4. Step 4: Simplify right side
    336.82x = 105,470.38
  5. Step 5: Solve for x
    x = 105,470.38/336.82
  6. Step 6: Final answer
    x = 313.14

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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.