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Finding the Fourth Proportional to 169.83, 253.08 and 164.33

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Solution

The fourth proportional to 169.83, 253.08 and 164.33 is: 244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.83 : 253.08 = 164.33 : x
  2. Step 2: Convert to fraction form
    169.83/253.08 = 164.33/x
  3. Step 3: Cross multiply
    169.83x = 253.08 × 164.33
  4. Step 4: Simplify right side
    169.83x = 41,587.37
  5. Step 5: Solve for x
    x = 41,587.37/169.83
  6. Step 6: Final answer
    x = 244.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.