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Finding the Fourth Proportional to 257.52, 385.94 and 228.54

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Solution

The fourth proportional to 257.52, 385.94 and 228.54 is: 342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.52 : 385.94 = 228.54 : x
  2. Step 2: Convert to fraction form
    257.52/385.94 = 228.54/x
  3. Step 3: Cross multiply
    257.52x = 385.94 × 228.54
  4. Step 4: Simplify right side
    257.52x = 88,202.73
  5. Step 5: Solve for x
    x = 88,202.73/257.52
  6. Step 6: Final answer
    x = 342.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.