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Finding the Fourth Proportional to 285.86, 394.49 and 154.87

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Solution

The fourth proportional to 285.86, 394.49 and 154.87 is: 213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.86 : 394.49 = 154.87 : x
  2. Step 2: Convert to fraction form
    285.86/394.49 = 154.87/x
  3. Step 3: Cross multiply
    285.86x = 394.49 × 154.87
  4. Step 4: Simplify right side
    285.86x = 61,092.91
  5. Step 5: Solve for x
    x = 61,092.91/285.86
  6. Step 6: Final answer
    x = 213.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.