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Finding the Fourth Proportional to 256.64, 353.84 and 204.06

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Solution

The fourth proportional to 256.64, 353.84 and 204.06 is: 281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.64 : 353.84 = 204.06 : x
  2. Step 2: Convert to fraction form
    256.64/353.84 = 204.06/x
  3. Step 3: Cross multiply
    256.64x = 353.84 × 204.06
  4. Step 4: Simplify right side
    256.64x = 72,204.59
  5. Step 5: Solve for x
    x = 72,204.59/256.64
  6. Step 6: Final answer
    x = 281.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.