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Finding the Fourth Proportional to 193.76, 289.92 and 182.24

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Solution

The fourth proportional to 193.76, 289.92 and 182.24 is: 272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.76 : 289.92 = 182.24 : x
  2. Step 2: Convert to fraction form
    193.76/289.92 = 182.24/x
  3. Step 3: Cross multiply
    193.76x = 289.92 × 182.24
  4. Step 4: Simplify right side
    193.76x = 52,835.02
  5. Step 5: Solve for x
    x = 52,835.02/193.76
  6. Step 6: Final answer
    x = 272.68

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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.