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Finding the Fourth Proportional to 375.92, 518.71 and 210.12

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Solution

The fourth proportional to 375.92, 518.71 and 210.12 is: 289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.92 : 518.71 = 210.12 : x
  2. Step 2: Convert to fraction form
    375.92/518.71 = 210.12/x
  3. Step 3: Cross multiply
    375.92x = 518.71 × 210.12
  4. Step 4: Simplify right side
    375.92x = 108,991.35
  5. Step 5: Solve for x
    x = 108,991.35/375.92
  6. Step 6: Final answer
    x = 289.94

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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.