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Finding the Fourth Proportional to 193.07, 289.09 and 101.49

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Solution

The fourth proportional to 193.07, 289.09 and 101.49 is: 151.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.07 : 289.09 = 101.49 : x
  2. Step 2: Convert to fraction form
    193.07/289.09 = 101.49/x
  3. Step 3: Cross multiply
    193.07x = 289.09 × 101.49
  4. Step 4: Simplify right side
    193.07x = 29,340.29
  5. Step 5: Solve for x
    x = 29,340.29/193.07
  6. Step 6: Final answer
    x = 151.97

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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.