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Finding the Fourth Proportional to 266.11, 365.20 and 259.22

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Solution

The fourth proportional to 266.11, 365.20 and 259.22 is: 355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.11 : 365.20 = 259.22 : x
  2. Step 2: Convert to fraction form
    266.11/365.20 = 259.22/x
  3. Step 3: Cross multiply
    266.11x = 365.20 × 259.22
  4. Step 4: Simplify right side
    266.11x = 94,667.41
  5. Step 5: Solve for x
    x = 94,667.41/266.11
  6. Step 6: Final answer
    x = 355.75

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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.