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Finding the Fourth Proportional to 372.10, 513.26 and 224.68

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Solution

The fourth proportional to 372.10, 513.26 and 224.68 is: 309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.10 : 513.26 = 224.68 : x
  2. Step 2: Convert to fraction form
    372.10/513.26 = 224.68/x
  3. Step 3: Cross multiply
    372.10x = 513.26 × 224.68
  4. Step 4: Simplify right side
    372.10x = 115,319.26
  5. Step 5: Solve for x
    x = 115,319.26/372.10
  6. Step 6: Final answer
    x = 309.91

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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.