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Finding the Fourth Proportional to 248.83, 374.96 and 224.48

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Solution

The fourth proportional to 248.83, 374.96 and 224.48 is: 338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.83 : 374.96 = 224.48 : x
  2. Step 2: Convert to fraction form
    248.83/374.96 = 224.48/x
  3. Step 3: Cross multiply
    248.83x = 374.96 × 224.48
  4. Step 4: Simplify right side
    248.83x = 84,172.52
  5. Step 5: Solve for x
    x = 84,172.52/248.83
  6. Step 6: Final answer
    x = 338.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.