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Finding the Fourth Proportional to 266.87, 399.62 and 193.43

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Solution

The fourth proportional to 266.87, 399.62 and 193.43 is: 289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.87 : 399.62 = 193.43 : x
  2. Step 2: Convert to fraction form
    266.87/399.62 = 193.43/x
  3. Step 3: Cross multiply
    266.87x = 399.62 × 193.43
  4. Step 4: Simplify right side
    266.87x = 77,295.53
  5. Step 5: Solve for x
    x = 77,295.53/266.87
  6. Step 6: Final answer
    x = 289.64

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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.