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Finding the Fourth Proportional to 193.84, 290.60 and 142.64

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Solution

The fourth proportional to 193.84, 290.60 and 142.64 is: 213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.84 : 290.60 = 142.64 : x
  2. Step 2: Convert to fraction form
    193.84/290.60 = 142.64/x
  3. Step 3: Cross multiply
    193.84x = 290.60 × 142.64
  4. Step 4: Simplify right side
    193.84x = 41,451.18
  5. Step 5: Solve for x
    x = 41,451.18/193.84
  6. Step 6: Final answer
    x = 213.84

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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.