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Finding the Fourth Proportional to 256.16, 384.24 and 191.97

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Solution

The fourth proportional to 256.16, 384.24 and 191.97 is: 287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.16 : 384.24 = 191.97 : x
  2. Step 2: Convert to fraction form
    256.16/384.24 = 191.97/x
  3. Step 3: Cross multiply
    256.16x = 384.24 × 191.97
  4. Step 4: Simplify right side
    256.16x = 73,763.27
  5. Step 5: Solve for x
    x = 73,763.27/256.16
  6. Step 6: Final answer
    x = 287.96

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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.