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Finding the Fourth Proportional to 257.86, 385.98 and 221.84

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Solution

The fourth proportional to 257.86, 385.98 and 221.84 is: 332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.86 : 385.98 = 221.84 : x
  2. Step 2: Convert to fraction form
    257.86/385.98 = 221.84/x
  3. Step 3: Cross multiply
    257.86x = 385.98 × 221.84
  4. Step 4: Simplify right side
    257.86x = 85,625.80
  5. Step 5: Solve for x
    x = 85,625.80/257.86
  6. Step 6: Final answer
    x = 332.06

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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.