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Finding the Fourth Proportional to 269.77, 372.16 and 164.77

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Solution

The fourth proportional to 269.77, 372.16 and 164.77 is: 227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.77 : 372.16 = 164.77 : x
  2. Step 2: Convert to fraction form
    269.77/372.16 = 164.77/x
  3. Step 3: Cross multiply
    269.77x = 372.16 × 164.77
  4. Step 4: Simplify right side
    269.77x = 61,320.80
  5. Step 5: Solve for x
    x = 61,320.80/269.77
  6. Step 6: Final answer
    x = 227.31

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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.