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Finding the Fourth Proportional to 378.50, 522.22 and 231.03

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Solution

The fourth proportional to 378.50, 522.22 and 231.03 is: 318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.50 : 522.22 = 231.03 : x
  2. Step 2: Convert to fraction form
    378.50/522.22 = 231.03/x
  3. Step 3: Cross multiply
    378.50x = 522.22 × 231.03
  4. Step 4: Simplify right side
    378.50x = 120,648.49
  5. Step 5: Solve for x
    x = 120,648.49/378.50
  6. Step 6: Final answer
    x = 318.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.