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Finding the Fourth Proportional to 244.76, 366.97 and 114.69

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Solution

The fourth proportional to 244.76, 366.97 and 114.69 is: 171.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.76 : 366.97 = 114.69 : x
  2. Step 2: Convert to fraction form
    244.76/366.97 = 114.69/x
  3. Step 3: Cross multiply
    244.76x = 366.97 × 114.69
  4. Step 4: Simplify right side
    244.76x = 42,086.30
  5. Step 5: Solve for x
    x = 42,086.30/244.76
  6. Step 6: Final answer
    x = 171.95

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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.