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Finding the Fourth Proportional to 268.86, 369.82 and 224.58

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Solution

The fourth proportional to 268.86, 369.82 and 224.58 is: 308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.86 : 369.82 = 224.58 : x
  2. Step 2: Convert to fraction form
    268.86/369.82 = 224.58/x
  3. Step 3: Cross multiply
    268.86x = 369.82 × 224.58
  4. Step 4: Simplify right side
    268.86x = 83,054.18
  5. Step 5: Solve for x
    x = 83,054.18/268.86
  6. Step 6: Final answer
    x = 308.91

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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.