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Finding the Fourth Proportional to 164.63, 247.11 and 121.34

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Solution

The fourth proportional to 164.63, 247.11 and 121.34 is: 182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.63 : 247.11 = 121.34 : x
  2. Step 2: Convert to fraction form
    164.63/247.11 = 121.34/x
  3. Step 3: Cross multiply
    164.63x = 247.11 × 121.34
  4. Step 4: Simplify right side
    164.63x = 29,985.63
  5. Step 5: Solve for x
    x = 29,985.63/164.63
  6. Step 6: Final answer
    x = 182.14

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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.