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Finding the Fourth Proportional to 266.67, 365.60 and 261.81

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Solution

The fourth proportional to 266.67, 365.60 and 261.81 is: 358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.67 : 365.60 = 261.81 : x
  2. Step 2: Convert to fraction form
    266.67/365.60 = 261.81/x
  3. Step 3: Cross multiply
    266.67x = 365.60 × 261.81
  4. Step 4: Simplify right side
    266.67x = 95,718.39
  5. Step 5: Solve for x
    x = 95,718.39/266.67
  6. Step 6: Final answer
    x = 358.94

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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.