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Finding the Fourth Proportional to 375.98, 518.87 and 210.23

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Solution

The fourth proportional to 375.98, 518.87 and 210.23 is: 290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.98 : 518.87 = 210.23 : x
  2. Step 2: Convert to fraction form
    375.98/518.87 = 210.23/x
  3. Step 3: Cross multiply
    375.98x = 518.87 × 210.23
  4. Step 4: Simplify right side
    375.98x = 109,082.04
  5. Step 5: Solve for x
    x = 109,082.04/375.98
  6. Step 6: Final answer
    x = 290.13

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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.