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Finding the Fourth Proportional to 382.84, 574.22 and 187.77

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Solution

The fourth proportional to 382.84, 574.22 and 187.77 is: 281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.84 : 574.22 = 187.77 : x
  2. Step 2: Convert to fraction form
    382.84/574.22 = 187.77/x
  3. Step 3: Cross multiply
    382.84x = 574.22 × 187.77
  4. Step 4: Simplify right side
    382.84x = 107,818.42
  5. Step 5: Solve for x
    x = 107,818.42/382.84
  6. Step 6: Final answer
    x = 281.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.