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Finding the Fourth Proportional to 256.72, 385.06 and 226.72

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Solution

The fourth proportional to 256.72, 385.06 and 226.72 is: 340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.72 : 385.06 = 226.72 : x
  2. Step 2: Convert to fraction form
    256.72/385.06 = 226.72/x
  3. Step 3: Cross multiply
    256.72x = 385.06 × 226.72
  4. Step 4: Simplify right side
    256.72x = 87,300.80
  5. Step 5: Solve for x
    x = 87,300.80/256.72
  6. Step 6: Final answer
    x = 340.06

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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.