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Finding the Fourth Proportional to 193.37, 289.76 and 162.99

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Solution

The fourth proportional to 193.37, 289.76 and 162.99 is: 244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.37 : 289.76 = 162.99 : x
  2. Step 2: Convert to fraction form
    193.37/289.76 = 162.99/x
  3. Step 3: Cross multiply
    193.37x = 289.76 × 162.99
  4. Step 4: Simplify right side
    193.37x = 47,227.17
  5. Step 5: Solve for x
    x = 47,227.17/193.37
  6. Step 6: Final answer
    x = 244.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.