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Finding the Fourth Proportional to 196.12, 294.18 and 164.26

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Solution

The fourth proportional to 196.12, 294.18 and 164.26 is: 246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.12 : 294.18 = 164.26 : x
  2. Step 2: Convert to fraction form
    196.12/294.18 = 164.26/x
  3. Step 3: Cross multiply
    196.12x = 294.18 × 164.26
  4. Step 4: Simplify right side
    196.12x = 48,322.01
  5. Step 5: Solve for x
    x = 48,322.01/196.12
  6. Step 6: Final answer
    x = 246.39

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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.