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Finding the Fourth Proportional to 266.27, 399.75 and 214.24

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Solution

The fourth proportional to 266.27, 399.75 and 214.24 is: 321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.27 : 399.75 = 214.24 : x
  2. Step 2: Convert to fraction form
    266.27/399.75 = 214.24/x
  3. Step 3: Cross multiply
    266.27x = 399.75 × 214.24
  4. Step 4: Simplify right side
    266.27x = 85,641.37
  5. Step 5: Solve for x
    x = 85,641.37/266.27
  6. Step 6: Final answer
    x = 321.64

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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.