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Finding the Fourth Proportional to 193.37, 289.85 and 101.97

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Solution

The fourth proportional to 193.37, 289.85 and 101.97 is: 152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.37 : 289.85 = 101.97 : x
  2. Step 2: Convert to fraction form
    193.37/289.85 = 101.97/x
  3. Step 3: Cross multiply
    193.37x = 289.85 × 101.97
  4. Step 4: Simplify right side
    193.37x = 29,555.49
  5. Step 5: Solve for x
    x = 29,555.49/193.37
  6. Step 6: Final answer
    x = 152.85

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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.