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Finding the Fourth Proportional to 375.95, 518.82 and 210.17

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Solution

The fourth proportional to 375.95, 518.82 and 210.17 is: 290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.95 : 518.82 = 210.17 : x
  2. Step 2: Convert to fraction form
    375.95/518.82 = 210.17/x
  3. Step 3: Cross multiply
    375.95x = 518.82 × 210.17
  4. Step 4: Simplify right side
    375.95x = 109,040.40
  5. Step 5: Solve for x
    x = 109,040.40/375.95
  6. Step 6: Final answer
    x = 290.04

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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.