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Finding the Fourth Proportional to 244.35, 366.53 and 107.42

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Solution

The fourth proportional to 244.35, 366.53 and 107.42 is: 161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.35 : 366.53 = 107.42 : x
  2. Step 2: Convert to fraction form
    244.35/366.53 = 107.42/x
  3. Step 3: Cross multiply
    244.35x = 366.53 × 107.42
  4. Step 4: Simplify right side
    244.35x = 39,370.28
  5. Step 5: Solve for x
    x = 39,370.28/244.35
  6. Step 6: Final answer
    x = 161.12

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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.