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Finding the Fourth Proportional to 266.42, 367.94 and 193.12

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Solution

The fourth proportional to 266.42, 367.94 and 193.12 is: 266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.42 : 367.94 = 193.12 : x
  2. Step 2: Convert to fraction form
    266.42/367.94 = 193.12/x
  3. Step 3: Cross multiply
    266.42x = 367.94 × 193.12
  4. Step 4: Simplify right side
    266.42x = 71,056.14
  5. Step 5: Solve for x
    x = 71,056.14/266.42
  6. Step 6: Final answer
    x = 266.70

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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.