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Finding the Fourth Proportional to 164.63, 247.05 and 111.98

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Solution

The fourth proportional to 164.63, 247.05 and 111.98 is: 168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.63 : 247.05 = 111.98 : x
  2. Step 2: Convert to fraction form
    164.63/247.05 = 111.98/x
  3. Step 3: Cross multiply
    164.63x = 247.05 × 111.98
  4. Step 4: Simplify right side
    164.63x = 27,664.10
  5. Step 5: Solve for x
    x = 27,664.10/164.63
  6. Step 6: Final answer
    x = 168.04

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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.