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Finding the Fourth Proportional to 268.84, 401.36 and 227.84

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Solution

The fourth proportional to 268.84, 401.36 and 227.84 is: 340.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.84 : 401.36 = 227.84 : x
  2. Step 2: Convert to fraction form
    268.84/401.36 = 227.84/x
  3. Step 3: Cross multiply
    268.84x = 401.36 × 227.84
  4. Step 4: Simplify right side
    268.84x = 91,445.86
  5. Step 5: Solve for x
    x = 91,445.86/268.84
  6. Step 6: Final answer
    x = 340.15

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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.