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Finding the Fourth Proportional to 193.49, 289.92 and 186.29

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Solution

The fourth proportional to 193.49, 289.92 and 186.29 is: 279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.49 : 289.92 = 186.29 : x
  2. Step 2: Convert to fraction form
    193.49/289.92 = 186.29/x
  3. Step 3: Cross multiply
    193.49x = 289.92 × 186.29
  4. Step 4: Simplify right side
    193.49x = 54,009.20
  5. Step 5: Solve for x
    x = 54,009.20/193.49
  6. Step 6: Final answer
    x = 279.13

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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.