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Finding the Fourth Proportional to 164.62, 247.34 and 123.92

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Solution

The fourth proportional to 164.62, 247.34 and 123.92 is: 186.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.62 : 247.34 = 123.92 : x
  2. Step 2: Convert to fraction form
    164.62/247.34 = 123.92/x
  3. Step 3: Cross multiply
    164.62x = 247.34 × 123.92
  4. Step 4: Simplify right side
    164.62x = 30,650.37
  5. Step 5: Solve for x
    x = 30,650.37/164.62
  6. Step 6: Final answer
    x = 186.19

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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.