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Finding the Fourth Proportional to 193.88, 266.79 and 192.68

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Solution

The fourth proportional to 193.88, 266.79 and 192.68 is: 265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.88 : 266.79 = 192.68 : x
  2. Step 2: Convert to fraction form
    193.88/266.79 = 192.68/x
  3. Step 3: Cross multiply
    193.88x = 266.79 × 192.68
  4. Step 4: Simplify right side
    193.88x = 51,404.43
  5. Step 5: Solve for x
    x = 51,404.43/193.88
  6. Step 6: Final answer
    x = 265.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.