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Finding the Fourth Proportional to 285.68, 394.22 and 180.74

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Solution

The fourth proportional to 285.68, 394.22 and 180.74 is: 249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.68 : 394.22 = 180.74 : x
  2. Step 2: Convert to fraction form
    285.68/394.22 = 180.74/x
  3. Step 3: Cross multiply
    285.68x = 394.22 × 180.74
  4. Step 4: Simplify right side
    285.68x = 71,251.32
  5. Step 5: Solve for x
    x = 71,251.32/285.68
  6. Step 6: Final answer
    x = 249.41

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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.