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Finding the Fourth Proportional to 266.64, 401.04 and 226.14

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Solution

The fourth proportional to 266.64, 401.04 and 226.14 is: 340.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.64 : 401.04 = 226.14 : x
  2. Step 2: Convert to fraction form
    266.64/401.04 = 226.14/x
  3. Step 3: Cross multiply
    266.64x = 401.04 × 226.14
  4. Step 4: Simplify right side
    266.64x = 90,691.19
  5. Step 5: Solve for x
    x = 90,691.19/266.64
  6. Step 6: Final answer
    x = 340.13

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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.