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Finding the Fourth Proportional to 196.92, 293.58 and 195.75

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Solution

The fourth proportional to 196.92, 293.58 and 195.75 is: 291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.92 : 293.58 = 195.75 : x
  2. Step 2: Convert to fraction form
    196.92/293.58 = 195.75/x
  3. Step 3: Cross multiply
    196.92x = 293.58 × 195.75
  4. Step 4: Simplify right side
    196.92x = 57,468.29
  5. Step 5: Solve for x
    x = 57,468.29/196.92
  6. Step 6: Final answer
    x = 291.84

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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.