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Finding the Fourth Proportional to 164.70, 247.08 and 82.44

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Solution

The fourth proportional to 164.70, 247.08 and 82.44 is: 123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.70 : 247.08 = 82.44 : x
  2. Step 2: Convert to fraction form
    164.70/247.08 = 82.44/x
  3. Step 3: Cross multiply
    164.70x = 247.08 × 82.44
  4. Step 4: Simplify right side
    164.70x = 20,369.28
  5. Step 5: Solve for x
    x = 20,369.28/164.70
  6. Step 6: Final answer
    x = 123.68

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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.