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Finding the Fourth Proportional to 376.02, 518.90 and 210.25

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Solution

The fourth proportional to 376.02, 518.90 and 210.25 is: 290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.02 : 518.90 = 210.25 : x
  2. Step 2: Convert to fraction form
    376.02/518.90 = 210.25/x
  3. Step 3: Cross multiply
    376.02x = 518.90 × 210.25
  4. Step 4: Simplify right side
    376.02x = 109,098.32
  5. Step 5: Solve for x
    x = 109,098.32/376.02
  6. Step 6: Final answer
    x = 290.14

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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.