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Finding the Fourth Proportional to 256.41, 353.70 and 207.27

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Solution

The fourth proportional to 256.41, 353.70 and 207.27 is: 285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.41 : 353.70 = 207.27 : x
  2. Step 2: Convert to fraction form
    256.41/353.70 = 207.27/x
  3. Step 3: Cross multiply
    256.41x = 353.70 × 207.27
  4. Step 4: Simplify right side
    256.41x = 73,311.40
  5. Step 5: Solve for x
    x = 73,311.40/256.41
  6. Step 6: Final answer
    x = 285.91

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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.