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Finding the Fourth Proportional to 256, 384.44 and 215.22

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Solution

The fourth proportional to 256, 384.44 and 215.22 is: 323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 384.44 = 215.22 : x
  2. Step 2: Convert to fraction form
    256/384.44 = 215.22/x
  3. Step 3: Cross multiply
    256x = 384.44 × 215.22
  4. Step 4: Simplify right side
    256x = 82,739.18
  5. Step 5: Solve for x
    x = 82,739.18/256
  6. Step 6: Final answer
    x = 323.20

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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.