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Finding the Fourth Proportional to 268.99, 371.14 and 158.42

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Solution

The fourth proportional to 268.99, 371.14 and 158.42 is: 218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.99 : 371.14 = 158.42 : x
  2. Step 2: Convert to fraction form
    268.99/371.14 = 158.42/x
  3. Step 3: Cross multiply
    268.99x = 371.14 × 158.42
  4. Step 4: Simplify right side
    268.99x = 58,796.53
  5. Step 5: Solve for x
    x = 58,796.53/268.99
  6. Step 6: Final answer
    x = 218.58

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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.