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Finding the Fourth Proportional to 196.92, 294.39 and 176.31

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Solution

The fourth proportional to 196.92, 294.39 and 176.31 is: 263.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.92 : 294.39 = 176.31 : x
  2. Step 2: Convert to fraction form
    196.92/294.39 = 176.31/x
  3. Step 3: Cross multiply
    196.92x = 294.39 × 176.31
  4. Step 4: Simplify right side
    196.92x = 51,903.90
  5. Step 5: Solve for x
    x = 51,903.90/196.92
  6. Step 6: Final answer
    x = 263.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.