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Finding the Fourth Proportional to 244.74, 366.96 and 122.86

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Solution

The fourth proportional to 244.74, 366.96 and 122.86 is: 184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.74 : 366.96 = 122.86 : x
  2. Step 2: Convert to fraction form
    244.74/366.96 = 122.86/x
  3. Step 3: Cross multiply
    244.74x = 366.96 × 122.86
  4. Step 4: Simplify right side
    244.74x = 45,082.87
  5. Step 5: Solve for x
    x = 45,082.87/244.74
  6. Step 6: Final answer
    x = 184.21

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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.