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Finding the Fourth Proportional to 257.78, 354.85 and 224.98

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Solution

The fourth proportional to 257.78, 354.85 and 224.98 is: 309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.78 : 354.85 = 224.98 : x
  2. Step 2: Convert to fraction form
    257.78/354.85 = 224.98/x
  3. Step 3: Cross multiply
    257.78x = 354.85 × 224.98
  4. Step 4: Simplify right side
    257.78x = 79,832.70
  5. Step 5: Solve for x
    x = 79,832.70/257.78
  6. Step 6: Final answer
    x = 309.69

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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.