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Finding the Fourth Proportional to 193.84, 290.82 and 97.62

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Solution

The fourth proportional to 193.84, 290.82 and 97.62 is: 146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.84 : 290.82 = 97.62 : x
  2. Step 2: Convert to fraction form
    193.84/290.82 = 97.62/x
  3. Step 3: Cross multiply
    193.84x = 290.82 × 97.62
  4. Step 4: Simplify right side
    193.84x = 28,389.85
  5. Step 5: Solve for x
    x = 28,389.85/193.84
  6. Step 6: Final answer
    x = 146.46

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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.