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Finding the Fourth Proportional to 269.42, 369.37 and 264.56

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Solution

The fourth proportional to 269.42, 369.37 and 264.56 is: 362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.42 : 369.37 = 264.56 : x
  2. Step 2: Convert to fraction form
    269.42/369.37 = 264.56/x
  3. Step 3: Cross multiply
    269.42x = 369.37 × 264.56
  4. Step 4: Simplify right side
    269.42x = 97,720.53
  5. Step 5: Solve for x
    x = 97,720.53/269.42
  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.