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Finding the Fourth Proportional to 175.44, 243.21 and 164.40

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Solution

The fourth proportional to 175.44, 243.21 and 164.40 is: 227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.44 : 243.21 = 164.40 : x
  2. Step 2: Convert to fraction form
    175.44/243.21 = 164.40/x
  3. Step 3: Cross multiply
    175.44x = 243.21 × 164.40
  4. Step 4: Simplify right side
    175.44x = 39,983.72
  5. Step 5: Solve for x
    x = 39,983.72/175.44
  6. Step 6: Final answer
    x = 227.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.