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Finding the Fourth Proportional to 268.54, 400.63 and 225.48

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Solution

The fourth proportional to 268.54, 400.63 and 225.48 is: 336.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.54 : 400.63 = 225.48 : x
  2. Step 2: Convert to fraction form
    268.54/400.63 = 225.48/x
  3. Step 3: Cross multiply
    268.54x = 400.63 × 225.48
  4. Step 4: Simplify right side
    268.54x = 90,334.05
  5. Step 5: Solve for x
    x = 90,334.05/268.54
  6. Step 6: Final answer
    x = 336.39

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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.