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Finding the Fourth Proportional to 175.44, 240.66 and 164.96

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Solution

The fourth proportional to 175.44, 240.66 and 164.96 is: 226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.44 : 240.66 = 164.96 : x
  2. Step 2: Convert to fraction form
    175.44/240.66 = 164.96/x
  3. Step 3: Cross multiply
    175.44x = 240.66 × 164.96
  4. Step 4: Simplify right side
    175.44x = 39,698.07
  5. Step 5: Solve for x
    x = 39,698.07/175.44
  6. Step 6: Final answer
    x = 226.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.