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Finding the Fourth Proportional to 382.22, 527.55 and 227.06

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Solution

The fourth proportional to 382.22, 527.55 and 227.06 is: 313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.22 : 527.55 = 227.06 : x
  2. Step 2: Convert to fraction form
    382.22/527.55 = 227.06/x
  3. Step 3: Cross multiply
    382.22x = 527.55 × 227.06
  4. Step 4: Simplify right side
    382.22x = 119,785.50
  5. Step 5: Solve for x
    x = 119,785.50/382.22
  6. Step 6: Final answer
    x = 313.39

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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.