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Finding the Fourth Proportional to 268.22, 401.99 and 146.57

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Solution

The fourth proportional to 268.22, 401.99 and 146.57 is: 219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.22 : 401.99 = 146.57 : x
  2. Step 2: Convert to fraction form
    268.22/401.99 = 146.57/x
  3. Step 3: Cross multiply
    268.22x = 401.99 × 146.57
  4. Step 4: Simplify right side
    268.22x = 58,919.67
  5. Step 5: Solve for x
    x = 58,919.67/268.22
  6. Step 6: Final answer
    x = 219.67

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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.