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Finding the Fourth Proportional to 382.82, 574.04 and 187.53

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Solution

The fourth proportional to 382.82, 574.04 and 187.53 is: 281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.82 : 574.04 = 187.53 : x
  2. Step 2: Convert to fraction form
    382.82/574.04 = 187.53/x
  3. Step 3: Cross multiply
    382.82x = 574.04 × 187.53
  4. Step 4: Simplify right side
    382.82x = 107,650.19
  5. Step 5: Solve for x
    x = 107,650.19/382.82
  6. Step 6: Final answer
    x = 281.20

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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.