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Finding the Fourth Proportional to 254.44, 379.70 and 224.08

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Solution

The fourth proportional to 254.44, 379.70 and 224.08 is: 334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.44 : 379.70 = 224.08 : x
  2. Step 2: Convert to fraction form
    254.44/379.70 = 224.08/x
  3. Step 3: Cross multiply
    254.44x = 379.70 × 224.08
  4. Step 4: Simplify right side
    254.44x = 85,083.18
  5. Step 5: Solve for x
    x = 85,083.18/254.44
  6. Step 6: Final answer
    x = 334.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.