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Finding the Fourth Proportional to 382.53, 527.81 and 225.16

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Solution

The fourth proportional to 382.53, 527.81 and 225.16 is: 310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.53 : 527.81 = 225.16 : x
  2. Step 2: Convert to fraction form
    382.53/527.81 = 225.16/x
  3. Step 3: Cross multiply
    382.53x = 527.81 × 225.16
  4. Step 4: Simplify right side
    382.53x = 118,839.25
  5. Step 5: Solve for x
    x = 118,839.25/382.53
  6. Step 6: Final answer
    x = 310.66

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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.