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Finding the Fourth Proportional to 366.72, 506.26 and 242.48

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Solution

The fourth proportional to 366.72, 506.26 and 242.48 is: 334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.72 : 506.26 = 242.48 : x
  2. Step 2: Convert to fraction form
    366.72/506.26 = 242.48/x
  3. Step 3: Cross multiply
    366.72x = 506.26 × 242.48
  4. Step 4: Simplify right side
    366.72x = 122,757.92
  5. Step 5: Solve for x
    x = 122,757.92/366.72
  6. Step 6: Final answer
    x = 334.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.