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Finding the Fourth Proportional to 372.54, 514.14 and 223.26

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Solution

The fourth proportional to 372.54, 514.14 and 223.26 is: 308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.54 : 514.14 = 223.26 : x
  2. Step 2: Convert to fraction form
    372.54/514.14 = 223.26/x
  3. Step 3: Cross multiply
    372.54x = 514.14 × 223.26
  4. Step 4: Simplify right side
    372.54x = 114,786.90
  5. Step 5: Solve for x
    x = 114,786.90/372.54
  6. Step 6: Final answer
    x = 308.12

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Why These Related Problems?

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