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Finding the Fourth Proportional to 193.04, 289.28 and 115.76

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Solution

The fourth proportional to 193.04, 289.28 and 115.76 is: 173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.04 : 289.28 = 115.76 : x
  2. Step 2: Convert to fraction form
    193.04/289.28 = 115.76/x
  3. Step 3: Cross multiply
    193.04x = 289.28 × 115.76
  4. Step 4: Simplify right side
    193.04x = 33,487.05
  5. Step 5: Solve for x
    x = 33,487.05/193.04
  6. Step 6: Final answer
    x = 173.47

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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.