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Finding the Fourth Proportional to 372.51, 514.05 and 206.73

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Solution

The fourth proportional to 372.51, 514.05 and 206.73 is: 285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.51 : 514.05 = 206.73 : x
  2. Step 2: Convert to fraction form
    372.51/514.05 = 206.73/x
  3. Step 3: Cross multiply
    372.51x = 514.05 × 206.73
  4. Step 4: Simplify right side
    372.51x = 106,269.56
  5. Step 5: Solve for x
    x = 106,269.56/372.51
  6. Step 6: Final answer
    x = 285.28

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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.