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Finding the Fourth Proportional to 269.81, 372.37 and 164.89

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Solution

The fourth proportional to 269.81, 372.37 and 164.89 is: 227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.81 : 372.37 = 164.89 : x
  2. Step 2: Convert to fraction form
    269.81/372.37 = 164.89/x
  3. Step 3: Cross multiply
    269.81x = 372.37 × 164.89
  4. Step 4: Simplify right side
    269.81x = 61,400.09
  5. Step 5: Solve for x
    x = 61,400.09/269.81
  6. Step 6: Final answer
    x = 227.57

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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.