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Finding the Fourth Proportional to 268.82, 370.99 and 150.82

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Solution

The fourth proportional to 268.82, 370.99 and 150.82 is: 208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.82 : 370.99 = 150.82 : x
  2. Step 2: Convert to fraction form
    268.82/370.99 = 150.82/x
  3. Step 3: Cross multiply
    268.82x = 370.99 × 150.82
  4. Step 4: Simplify right side
    268.82x = 55,951.97
  5. Step 5: Solve for x
    x = 55,951.97/268.82
  6. Step 6: Final answer
    x = 208.14

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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.