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Finding the Fourth Proportional to 248.64, 374.44 and 224.60

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Solution

The fourth proportional to 248.64, 374.44 and 224.60 is: 338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.64 : 374.44 = 224.60 : x
  2. Step 2: Convert to fraction form
    248.64/374.44 = 224.60/x
  3. Step 3: Cross multiply
    248.64x = 374.44 × 224.60
  4. Step 4: Simplify right side
    248.64x = 84,099.22
  5. Step 5: Solve for x
    x = 84,099.22/248.64
  6. Step 6: Final answer
    x = 338.24

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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.