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Finding the Fourth Proportional to 376.23, 519.16 and 210.43

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Solution

The fourth proportional to 376.23, 519.16 and 210.43 is: 290.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.23 : 519.16 = 210.43 : x
  2. Step 2: Convert to fraction form
    376.23/519.16 = 210.43/x
  3. Step 3: Cross multiply
    376.23x = 519.16 × 210.43
  4. Step 4: Simplify right side
    376.23x = 109,246.84
  5. Step 5: Solve for x
    x = 109,246.84/376.23
  6. Step 6: Final answer
    x = 290.37

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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.