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Finding the Fourth Proportional to 266.60, 367.70 and 163.08

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Solution

The fourth proportional to 266.60, 367.70 and 163.08 is: 224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.60 : 367.70 = 163.08 : x
  2. Step 2: Convert to fraction form
    266.60/367.70 = 163.08/x
  3. Step 3: Cross multiply
    266.60x = 367.70 × 163.08
  4. Step 4: Simplify right side
    266.60x = 59,964.52
  5. Step 5: Solve for x
    x = 59,964.52/266.60
  6. Step 6: Final answer
    x = 224.92

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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.