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Finding the Fourth Proportional to 266.47, 367.53 and 262.42

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Solution

The fourth proportional to 266.47, 367.53 and 262.42 is: 361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.47 : 367.53 = 262.42 : x
  2. Step 2: Convert to fraction form
    266.47/367.53 = 262.42/x
  3. Step 3: Cross multiply
    266.47x = 367.53 × 262.42
  4. Step 4: Simplify right side
    266.47x = 96,447.22
  5. Step 5: Solve for x
    x = 96,447.22/266.47
  6. Step 6: Final answer
    x = 361.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.