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Finding the Fourth Proportional to 268.03, 369.89 and 157.49

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Solution

The fourth proportional to 268.03, 369.89 and 157.49 is: 217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.03 : 369.89 = 157.49 : x
  2. Step 2: Convert to fraction form
    268.03/369.89 = 157.49/x
  3. Step 3: Cross multiply
    268.03x = 369.89 × 157.49
  4. Step 4: Simplify right side
    268.03x = 58,252.52
  5. Step 5: Solve for x
    x = 58,252.52/268.03
  6. Step 6: Final answer
    x = 217.34

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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.