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Finding the Fourth Proportional to 256.86, 384.82 and 195.05

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Solution

The fourth proportional to 256.86, 384.82 and 195.05 is: 292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.86 : 384.82 = 195.05 : x
  2. Step 2: Convert to fraction form
    256.86/384.82 = 195.05/x
  3. Step 3: Cross multiply
    256.86x = 384.82 × 195.05
  4. Step 4: Simplify right side
    256.86x = 75,059.62
  5. Step 5: Solve for x
    x = 75,059.62/256.86
  6. Step 6: Final answer
    x = 292.22

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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.