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Finding the Fourth Proportional to 285.12, 394.38 and 223.56

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Solution

The fourth proportional to 285.12, 394.38 and 223.56 is: 309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.12 : 394.38 = 223.56 : x
  2. Step 2: Convert to fraction form
    285.12/394.38 = 223.56/x
  3. Step 3: Cross multiply
    285.12x = 394.38 × 223.56
  4. Step 4: Simplify right side
    285.12x = 88,167.59
  5. Step 5: Solve for x
    x = 88,167.59/285.12
  6. Step 6: Final answer
    x = 309.23

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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.