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Finding the Fourth Proportional to 299.86, 447.17 and 266.66

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Solution

The fourth proportional to 299.86, 447.17 and 266.66 is: 397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.86 : 447.17 = 266.66 : x
  2. Step 2: Convert to fraction form
    299.86/447.17 = 266.66/x
  3. Step 3: Cross multiply
    299.86x = 447.17 × 266.66
  4. Step 4: Simplify right side
    299.86x = 119,242.35
  5. Step 5: Solve for x
    x = 119,242.35/299.86
  6. Step 6: Final answer
    x = 397.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.