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Finding the Fourth Proportional to 285.96, 394.67 and 181.07

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Solution

The fourth proportional to 285.96, 394.67 and 181.07 is: 249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.96 : 394.67 = 181.07 : x
  2. Step 2: Convert to fraction form
    285.96/394.67 = 181.07/x
  3. Step 3: Cross multiply
    285.96x = 394.67 × 181.07
  4. Step 4: Simplify right side
    285.96x = 71,462.86
  5. Step 5: Solve for x
    x = 71,462.86/285.96
  6. Step 6: Final answer
    x = 249.90

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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.