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Finding the Fourth Proportional to 194.92, 291.95 and 142.54

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Solution

The fourth proportional to 194.92, 291.95 and 142.54 is: 213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.92 : 291.95 = 142.54 : x
  2. Step 2: Convert to fraction form
    194.92/291.95 = 142.54/x
  3. Step 3: Cross multiply
    194.92x = 291.95 × 142.54
  4. Step 4: Simplify right side
    194.92x = 41,613.11
  5. Step 5: Solve for x
    x = 41,613.11/194.92
  6. Step 6: Final answer
    x = 213.49

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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.