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Finding the Fourth Proportional to 266.42, 365.26 and 261.56

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Solution

The fourth proportional to 266.42, 365.26 and 261.56 is: 358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.42 : 365.26 = 261.56 : x
  2. Step 2: Convert to fraction form
    266.42/365.26 = 261.56/x
  3. Step 3: Cross multiply
    266.42x = 365.26 × 261.56
  4. Step 4: Simplify right side
    266.42x = 95,537.41
  5. Step 5: Solve for x
    x = 95,537.41/266.42
  6. Step 6: Final answer
    x = 358.60

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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.