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Finding the Fourth Proportional to 193.69, 289.93 and 132.49

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Solution

The fourth proportional to 193.69, 289.93 and 132.49 is: 198.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.69 : 289.93 = 132.49 : x
  2. Step 2: Convert to fraction form
    193.69/289.93 = 132.49/x
  3. Step 3: Cross multiply
    193.69x = 289.93 × 132.49
  4. Step 4: Simplify right side
    193.69x = 38,411.47
  5. Step 5: Solve for x
    x = 38,411.47/193.69
  6. Step 6: Final answer
    x = 198.31

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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.