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Finding the Fourth Proportional to 247.81, 342.14 and 165.03

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Solution

The fourth proportional to 247.81, 342.14 and 165.03 is: 227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.81 : 342.14 = 165.03 : x
  2. Step 2: Convert to fraction form
    247.81/342.14 = 165.03/x
  3. Step 3: Cross multiply
    247.81x = 342.14 × 165.03
  4. Step 4: Simplify right side
    247.81x = 56,463.36
  5. Step 5: Solve for x
    x = 56,463.36/247.81
  6. Step 6: Final answer
    x = 227.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.