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Finding the Fourth Proportional to 285.68, 394.36 and 223.68

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Solution

The fourth proportional to 285.68, 394.36 and 223.68 is: 308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.68 : 394.36 = 223.68 : x
  2. Step 2: Convert to fraction form
    285.68/394.36 = 223.68/x
  3. Step 3: Cross multiply
    285.68x = 394.36 × 223.68
  4. Step 4: Simplify right side
    285.68x = 88,210.44
  5. Step 5: Solve for x
    x = 88,210.44/285.68
  6. Step 6: Final answer
    x = 308.77

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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.