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Finding the Fourth Proportional to 256, 384.12 and 208

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Solution

The fourth proportional to 256, 384.12 and 208 is: 312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 384.12 = 208 : x
  2. Step 2: Convert to fraction form
    256/384.12 = 208/x
  3. Step 3: Cross multiply
    256x = 384.12 × 208
  4. Step 4: Simplify right side
    256x = 79,896.96
  5. Step 5: Solve for x
    x = 79,896.96/256
  6. Step 6: Final answer
    x = 312.10

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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.