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Finding the Fourth Proportional to 247.28, 370.96 and 101.11

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Solution

The fourth proportional to 247.28, 370.96 and 101.11 is: 151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.28 : 370.96 = 101.11 : x
  2. Step 2: Convert to fraction form
    247.28/370.96 = 101.11/x
  3. Step 3: Cross multiply
    247.28x = 370.96 × 101.11
  4. Step 4: Simplify right side
    247.28x = 37,505.53
  5. Step 5: Solve for x
    x = 37,505.53/247.28
  6. Step 6: Final answer
    x = 151.67

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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.