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Finding the Fourth Proportional to 372.22, 513.81 and 256.18

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Solution

The fourth proportional to 372.22, 513.81 and 256.18 is: 353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.22 : 513.81 = 256.18 : x
  2. Step 2: Convert to fraction form
    372.22/513.81 = 256.18/x
  3. Step 3: Cross multiply
    372.22x = 513.81 × 256.18
  4. Step 4: Simplify right side
    372.22x = 131,627.85
  5. Step 5: Solve for x
    x = 131,627.85/372.22
  6. Step 6: Final answer
    x = 353.63

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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.