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Finding the Fourth Proportional to 348.52, 481.16 and 224.24

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Solution

The fourth proportional to 348.52, 481.16 and 224.24 is: 309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.52 : 481.16 = 224.24 : x
  2. Step 2: Convert to fraction form
    348.52/481.16 = 224.24/x
  3. Step 3: Cross multiply
    348.52x = 481.16 × 224.24
  4. Step 4: Simplify right side
    348.52x = 107,895.32
  5. Step 5: Solve for x
    x = 107,895.32/348.52
  6. Step 6: Final answer
    x = 309.58

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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.