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Finding the Fourth Proportional to 257.48, 385.77 and 214.42

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Solution

The fourth proportional to 257.48, 385.77 and 214.42 is: 321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.48 : 385.77 = 214.42 : x
  2. Step 2: Convert to fraction form
    257.48/385.77 = 214.42/x
  3. Step 3: Cross multiply
    257.48x = 385.77 × 214.42
  4. Step 4: Simplify right side
    257.48x = 82,717.40
  5. Step 5: Solve for x
    x = 82,717.40/257.48
  6. Step 6: Final answer
    x = 321.26

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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.