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Finding the Fourth Proportional to 164.83, 247.31 and 73.46

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Solution

The fourth proportional to 164.83, 247.31 and 73.46 is: 110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.83 : 247.31 = 73.46 : x
  2. Step 2: Convert to fraction form
    164.83/247.31 = 73.46/x
  3. Step 3: Cross multiply
    164.83x = 247.31 × 73.46
  4. Step 4: Simplify right side
    164.83x = 18,167.03
  5. Step 5: Solve for x
    x = 18,167.03/164.83
  6. Step 6: Final answer
    x = 110.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.