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Finding the Fourth Proportional to 193.87, 291.75 and 142.84

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Solution

The fourth proportional to 193.87, 291.75 and 142.84 is: 214.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.87 : 291.75 = 142.84 : x
  2. Step 2: Convert to fraction form
    193.87/291.75 = 142.84/x
  3. Step 3: Cross multiply
    193.87x = 291.75 × 142.84
  4. Step 4: Simplify right side
    193.87x = 41,673.38
  5. Step 5: Solve for x
    x = 41,673.38/193.87
  6. Step 6: Final answer
    x = 214.96

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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.