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Finding the Fourth Proportional to 266.02, 399.17 and 211.04

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Solution

The fourth proportional to 266.02, 399.17 and 211.04 is: 316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.02 : 399.17 = 211.04 : x
  2. Step 2: Convert to fraction form
    266.02/399.17 = 211.04/x
  3. Step 3: Cross multiply
    266.02x = 399.17 × 211.04
  4. Step 4: Simplify right side
    266.02x = 84,240.84
  5. Step 5: Solve for x
    x = 84,240.84/266.02
  6. Step 6: Final answer
    x = 316.67

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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.