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Finding the Fourth Proportional to 193.83, 290.40 and 128.79

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Solution

The fourth proportional to 193.83, 290.40 and 128.79 is: 192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.83 : 290.40 = 128.79 : x
  2. Step 2: Convert to fraction form
    193.83/290.40 = 128.79/x
  3. Step 3: Cross multiply
    193.83x = 290.40 × 128.79
  4. Step 4: Simplify right side
    193.83x = 37,400.86
  5. Step 5: Solve for x
    x = 37,400.86/193.83
  6. Step 6: Final answer
    x = 192.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.