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Finding the Fourth Proportional to 266.54, 367.47 and 207.41

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Solution

The fourth proportional to 266.54, 367.47 and 207.41 is: 285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.54 : 367.47 = 207.41 : x
  2. Step 2: Convert to fraction form
    266.54/367.47 = 207.41/x
  3. Step 3: Cross multiply
    266.54x = 367.47 × 207.41
  4. Step 4: Simplify right side
    266.54x = 76,215.12
  5. Step 5: Solve for x
    x = 76,215.12/266.54
  6. Step 6: Final answer
    x = 285.95

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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.