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Finding the Fourth Proportional to 376.48, 564.58 and 133.21

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Solution

The fourth proportional to 376.48, 564.58 and 133.21 is: 199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.48 : 564.58 = 133.21 : x
  2. Step 2: Convert to fraction form
    376.48/564.58 = 133.21/x
  3. Step 3: Cross multiply
    376.48x = 564.58 × 133.21
  4. Step 4: Simplify right side
    376.48x = 75,207.70
  5. Step 5: Solve for x
    x = 75,207.70/376.48
  6. Step 6: Final answer
    x = 199.77

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