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Finding the Fourth Proportional to 269.66, 372.19 and 164.79

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Solution

The fourth proportional to 269.66, 372.19 and 164.79 is: 227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.66 : 372.19 = 164.79 : x
  2. Step 2: Convert to fraction form
    269.66/372.19 = 164.79/x
  3. Step 3: Cross multiply
    269.66x = 372.19 × 164.79
  4. Step 4: Simplify right side
    269.66x = 61,333.19
  5. Step 5: Solve for x
    x = 61,333.19/269.66
  6. Step 6: Final answer
    x = 227.45

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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.