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Finding the Fourth Proportional to 266.22, 367.30 and 203.28

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Solution

The fourth proportional to 266.22, 367.30 and 203.28 is: 280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.22 : 367.30 = 203.28 : x
  2. Step 2: Convert to fraction form
    266.22/367.30 = 203.28/x
  3. Step 3: Cross multiply
    266.22x = 367.30 × 203.28
  4. Step 4: Simplify right side
    266.22x = 74,664.74
  5. Step 5: Solve for x
    x = 74,664.74/266.22
  6. Step 6: Final answer
    x = 280.46

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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.