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Finding the Fourth Proportional to 268.08, 369.92 and 157.54

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Solution

The fourth proportional to 268.08, 369.92 and 157.54 is: 217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.08 : 369.92 = 157.54 : x
  2. Step 2: Convert to fraction form
    268.08/369.92 = 157.54/x
  3. Step 3: Cross multiply
    268.08x = 369.92 × 157.54
  4. Step 4: Simplify right side
    268.08x = 58,277.20
  5. Step 5: Solve for x
    x = 58,277.20/268.08
  6. Step 6: Final answer
    x = 217.39

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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.