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Finding the Fourth Proportional to 376.14, 564.41 and 145.19

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Solution

The fourth proportional to 376.14, 564.41 and 145.19 is: 217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.14 : 564.41 = 145.19 : x
  2. Step 2: Convert to fraction form
    376.14/564.41 = 145.19/x
  3. Step 3: Cross multiply
    376.14x = 564.41 × 145.19
  4. Step 4: Simplify right side
    376.14x = 81,948.46
  5. Step 5: Solve for x
    x = 81,948.46/376.14
  6. Step 6: Final answer
    x = 217.87

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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.