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Finding the Fourth Proportional to 375.83, 518.65 and 210.05

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Solution

The fourth proportional to 375.83, 518.65 and 210.05 is: 289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.83 : 518.65 = 210.05 : x
  2. Step 2: Convert to fraction form
    375.83/518.65 = 210.05/x
  3. Step 3: Cross multiply
    375.83x = 518.65 × 210.05
  4. Step 4: Simplify right side
    375.83x = 108,940.09
  5. Step 5: Solve for x
    x = 108,940.09/375.83
  6. Step 6: Final answer
    x = 289.87

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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.