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Finding the Fourth Proportional to 375.38, 563.07 and 144.38

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Solution

The fourth proportional to 375.38, 563.07 and 144.38 is: 216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.38 : 563.07 = 144.38 : x
  2. Step 2: Convert to fraction form
    375.38/563.07 = 144.38/x
  3. Step 3: Cross multiply
    375.38x = 563.07 × 144.38
  4. Step 4: Simplify right side
    375.38x = 81,293.23
  5. Step 5: Solve for x
    x = 81,293.23/375.38
  6. Step 6: Final answer
    x = 216.57

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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.