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Finding the Fourth Proportional to 372.69, 514.31 and 206.93

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Solution

The fourth proportional to 372.69, 514.31 and 206.93 is: 285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.69 : 514.31 = 206.93 : x
  2. Step 2: Convert to fraction form
    372.69/514.31 = 206.93/x
  3. Step 3: Cross multiply
    372.69x = 514.31 × 206.93
  4. Step 4: Simplify right side
    372.69x = 106,424.88
  5. Step 5: Solve for x
    x = 106,424.88/372.69
  6. Step 6: Final answer
    x = 285.56

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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.