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Finding the Fourth Proportional to 266.20, 367.60 and 193.02

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Solution

The fourth proportional to 266.20, 367.60 and 193.02 is: 266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.20 : 367.60 = 193.02 : x
  2. Step 2: Convert to fraction form
    266.20/367.60 = 193.02/x
  3. Step 3: Cross multiply
    266.20x = 367.60 × 193.02
  4. Step 4: Simplify right side
    266.20x = 70,954.15
  5. Step 5: Solve for x
    x = 70,954.15/266.20
  6. Step 6: Final answer
    x = 266.54

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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.