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Finding the Fourth Proportional to 372.06, 513.20 and 224.64

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Solution

The fourth proportional to 372.06, 513.20 and 224.64 is: 309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.06 : 513.20 = 224.64 : x
  2. Step 2: Convert to fraction form
    372.06/513.20 = 224.64/x
  3. Step 3: Cross multiply
    372.06x = 513.20 × 224.64
  4. Step 4: Simplify right side
    372.06x = 115,285.81
  5. Step 5: Solve for x
    x = 115,285.81/372.06
  6. Step 6: Final answer
    x = 309.86

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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.