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Finding the Fourth Proportional to 169.24, 233.52 and 164.80

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Solution

The fourth proportional to 169.24, 233.52 and 164.80 is: 227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.24 : 233.52 = 164.80 : x
  2. Step 2: Convert to fraction form
    169.24/233.52 = 164.80/x
  3. Step 3: Cross multiply
    169.24x = 233.52 × 164.80
  4. Step 4: Simplify right side
    169.24x = 38,484.10
  5. Step 5: Solve for x
    x = 38,484.10/169.24
  6. Step 6: Final answer
    x = 227.39

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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.