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Finding the Fourth Proportional to 376.12, 518.99 and 210.34

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Solution

The fourth proportional to 376.12, 518.99 and 210.34 is: 290.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.12 : 518.99 = 210.34 : x
  2. Step 2: Convert to fraction form
    376.12/518.99 = 210.34/x
  3. Step 3: Cross multiply
    376.12x = 518.99 × 210.34
  4. Step 4: Simplify right side
    376.12x = 109,160.71
  5. Step 5: Solve for x
    x = 109,160.71/376.12
  6. Step 6: Final answer
    x = 290.23

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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.