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Finding the Fourth Proportional to 376.53, 564.87 and 133.23

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Solution

The fourth proportional to 376.53, 564.87 and 133.23 is: 199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.53 : 564.87 = 133.23 : x
  2. Step 2: Convert to fraction form
    376.53/564.87 = 133.23/x
  3. Step 3: Cross multiply
    376.53x = 564.87 × 133.23
  4. Step 4: Simplify right side
    376.53x = 75,257.63
  5. Step 5: Solve for x
    x = 75,257.63/376.53
  6. Step 6: Final answer
    x = 199.87

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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.