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Finding the Fourth Proportional to 268.37, 401.91 and 146.33

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Solution

The fourth proportional to 268.37, 401.91 and 146.33 is: 219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.37 : 401.91 = 146.33 : x
  2. Step 2: Convert to fraction form
    268.37/401.91 = 146.33/x
  3. Step 3: Cross multiply
    268.37x = 401.91 × 146.33
  4. Step 4: Simplify right side
    268.37x = 58,811.49
  5. Step 5: Solve for x
    x = 58,811.49/268.37
  6. Step 6: Final answer
    x = 219.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.