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Finding the Fourth Proportional to 299.24, 412.90 and 266.19

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Solution

The fourth proportional to 299.24, 412.90 and 266.19 is: 367.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.24 : 412.90 = 266.19 : x
  2. Step 2: Convert to fraction form
    299.24/412.90 = 266.19/x
  3. Step 3: Cross multiply
    299.24x = 412.90 × 266.19
  4. Step 4: Simplify right side
    299.24x = 109,909.85
  5. Step 5: Solve for x
    x = 109,909.85/299.24
  6. Step 6: Final answer
    x = 367.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.