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Finding the Fourth Proportional to 266.22, 365.22 and 263.70

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Solution

The fourth proportional to 266.22, 365.22 and 263.70 is: 361.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.22 : 365.22 = 263.70 : x
  2. Step 2: Convert to fraction form
    266.22/365.22 = 263.70/x
  3. Step 3: Cross multiply
    266.22x = 365.22 × 263.70
  4. Step 4: Simplify right side
    266.22x = 96,308.51
  5. Step 5: Solve for x
    x = 96,308.51/266.22
  6. Step 6: Final answer
    x = 361.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.