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Finding the Fourth Proportional to 375.16, 517.67 and 209.34

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Solution

The fourth proportional to 375.16, 517.67 and 209.34 is: 288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.16 : 517.67 = 209.34 : x
  2. Step 2: Convert to fraction form
    375.16/517.67 = 209.34/x
  3. Step 3: Cross multiply
    375.16x = 517.67 × 209.34
  4. Step 4: Simplify right side
    375.16x = 108,369.04
  5. Step 5: Solve for x
    x = 108,369.04/375.16
  6. Step 6: Final answer
    x = 288.86

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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.