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Finding the Fourth Proportional to 193.79, 265.83 and 189.74

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Solution

The fourth proportional to 193.79, 265.83 and 189.74 is: 260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.79 : 265.83 = 189.74 : x
  2. Step 2: Convert to fraction form
    193.79/265.83 = 189.74/x
  3. Step 3: Cross multiply
    193.79x = 265.83 × 189.74
  4. Step 4: Simplify right side
    193.79x = 50,439.60
  5. Step 5: Solve for x
    x = 50,439.60/193.79
  6. Step 6: Final answer
    x = 260.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.