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Finding the Fourth Proportional to 193.84, 290.68 and 120.69

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Solution

The fourth proportional to 193.84, 290.68 and 120.69 is: 180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.84 : 290.68 = 120.69 : x
  2. Step 2: Convert to fraction form
    193.84/290.68 = 120.69/x
  3. Step 3: Cross multiply
    193.84x = 290.68 × 120.69
  4. Step 4: Simplify right side
    193.84x = 35,082.17
  5. Step 5: Solve for x
    x = 35,082.17/193.84
  6. Step 6: Final answer
    x = 180.99

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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.