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Finding the Fourth Proportional to 244.26, 366.47 and 175.73

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Solution

The fourth proportional to 244.26, 366.47 and 175.73 is: 263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.26 : 366.47 = 175.73 : x
  2. Step 2: Convert to fraction form
    244.26/366.47 = 175.73/x
  3. Step 3: Cross multiply
    244.26x = 366.47 × 175.73
  4. Step 4: Simplify right side
    244.26x = 64,397.94
  5. Step 5: Solve for x
    x = 64,397.94/244.26
  6. Step 6: Final answer
    x = 263.65

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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.