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Finding the Fourth Proportional to 376.10, 564.17 and 193.44

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Solution

The fourth proportional to 376.10, 564.17 and 193.44 is: 290.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.10 : 564.17 = 193.44 : x
  2. Step 2: Convert to fraction form
    376.10/564.17 = 193.44/x
  3. Step 3: Cross multiply
    376.10x = 564.17 × 193.44
  4. Step 4: Simplify right side
    376.10x = 109,132.08
  5. Step 5: Solve for x
    x = 109,132.08/376.10
  6. Step 6: Final answer
    x = 290.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.