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Finding the Fourth Proportional to 244.28, 366.29 and 107.16

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Solution

The fourth proportional to 244.28, 366.29 and 107.16 is: 160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.28 : 366.29 = 107.16 : x
  2. Step 2: Convert to fraction form
    244.28/366.29 = 107.16/x
  3. Step 3: Cross multiply
    244.28x = 366.29 × 107.16
  4. Step 4: Simplify right side
    244.28x = 39,252.02
  5. Step 5: Solve for x
    x = 39,252.02/244.28
  6. Step 6: Final answer
    x = 160.69

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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.