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Finding the Fourth Proportional to 266.43, 399.11 and 211.67

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Solution

The fourth proportional to 266.43, 399.11 and 211.67 is: 317.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.43 : 399.11 = 211.67 : x
  2. Step 2: Convert to fraction form
    266.43/399.11 = 211.67/x
  3. Step 3: Cross multiply
    266.43x = 399.11 × 211.67
  4. Step 4: Simplify right side
    266.43x = 84,479.55
  5. Step 5: Solve for x
    x = 84,479.55/266.43
  6. Step 6: Final answer
    x = 317.08

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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.