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Finding the Fourth Proportional to 257.63, 385.57 and 214.92

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Solution

The fourth proportional to 257.63, 385.57 and 214.92 is: 321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.63 : 385.57 = 214.92 : x
  2. Step 2: Convert to fraction form
    257.63/385.57 = 214.92/x
  3. Step 3: Cross multiply
    257.63x = 385.57 × 214.92
  4. Step 4: Simplify right side
    257.63x = 82,866.70
  5. Step 5: Solve for x
    x = 82,866.70/257.63
  6. Step 6: Final answer
    x = 321.65

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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.