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Finding the Fourth Proportional to 164.62, 247.03 and 83.49

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Solution

The fourth proportional to 164.62, 247.03 and 83.49 is: 125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.62 : 247.03 = 83.49 : x
  2. Step 2: Convert to fraction form
    164.62/247.03 = 83.49/x
  3. Step 3: Cross multiply
    164.62x = 247.03 × 83.49
  4. Step 4: Simplify right side
    164.62x = 20,624.53
  5. Step 5: Solve for x
    x = 20,624.53/164.62
  6. Step 6: Final answer
    x = 125.29

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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.