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Finding the Fourth Proportional to 196.57, 294.63 and 119.51

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Solution

The fourth proportional to 196.57, 294.63 and 119.51 is: 179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.57 : 294.63 = 119.51 : x
  2. Step 2: Convert to fraction form
    196.57/294.63 = 119.51/x
  3. Step 3: Cross multiply
    196.57x = 294.63 × 119.51
  4. Step 4: Simplify right side
    196.57x = 35,212.27
  5. Step 5: Solve for x
    x = 35,212.27/196.57
  6. Step 6: Final answer
    x = 179.14

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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.