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Finding the Fourth Proportional to 193.96, 291.06 and 142.48

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Solution

The fourth proportional to 193.96, 291.06 and 142.48 is: 213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.96 : 291.06 = 142.48 : x
  2. Step 2: Convert to fraction form
    193.96/291.06 = 142.48/x
  3. Step 3: Cross multiply
    193.96x = 291.06 × 142.48
  4. Step 4: Simplify right side
    193.96x = 41,468.77
  5. Step 5: Solve for x
    x = 41,468.77/193.96
  6. Step 6: Final answer
    x = 213.80

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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.