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Finding the Fourth Proportional to 266.48, 399.81 and 122.12

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Solution

The fourth proportional to 266.48, 399.81 and 122.12 is: 183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.48 : 399.81 = 122.12 : x
  2. Step 2: Convert to fraction form
    266.48/399.81 = 122.12/x
  3. Step 3: Cross multiply
    266.48x = 399.81 × 122.12
  4. Step 4: Simplify right side
    266.48x = 48,824.80
  5. Step 5: Solve for x
    x = 48,824.80/266.48
  6. Step 6: Final answer
    x = 183.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.