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Finding the Fourth Proportional to 193.89, 265.81 and 189.39

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Solution

The fourth proportional to 193.89, 265.81 and 189.39 is: 259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.89 : 265.81 = 189.39 : x
  2. Step 2: Convert to fraction form
    193.89/265.81 = 189.39/x
  3. Step 3: Cross multiply
    193.89x = 265.81 × 189.39
  4. Step 4: Simplify right side
    193.89x = 50,341.28
  5. Step 5: Solve for x
    x = 50,341.28/193.89
  6. Step 6: Final answer
    x = 259.64

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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.