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Finding the Fourth Proportional to 266.22, 364.19 and 265.14

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Solution

The fourth proportional to 266.22, 364.19 and 265.14 is: 362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.22 : 364.19 = 265.14 : x
  2. Step 2: Convert to fraction form
    266.22/364.19 = 265.14/x
  3. Step 3: Cross multiply
    266.22x = 364.19 × 265.14
  4. Step 4: Simplify right side
    266.22x = 96,560.01
  5. Step 5: Solve for x
    x = 96,560.01/266.22
  6. Step 6: Final answer
    x = 362.71

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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.