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Finding the Fourth Proportional to 266.13, 399.30 and 136.20

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Solution

The fourth proportional to 266.13, 399.30 and 136.20 is: 204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.13 : 399.30 = 136.20 : x
  2. Step 2: Convert to fraction form
    266.13/399.30 = 136.20/x
  3. Step 3: Cross multiply
    266.13x = 399.30 × 136.20
  4. Step 4: Simplify right side
    266.13x = 54,382.66
  5. Step 5: Solve for x
    x = 54,382.66/266.13
  6. Step 6: Final answer
    x = 204.34

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