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Finding the Fourth Proportional to 266, 399.21 and 214.77

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Solution

The fourth proportional to 266, 399.21 and 214.77 is: 322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    266 : 399.21 = 214.77 : x
  2. Step 2: Convert to fraction form
    266/399.21 = 214.77/x
  3. Step 3: Cross multiply
    266x = 399.21 × 214.77
  4. Step 4: Simplify right side
    266x = 85,738.33
  5. Step 5: Solve for x
    x = 85,738.33/266
  6. Step 6: Final answer
    x = 322.32

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