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Finding the Fourth Proportional to 376.62, 565.04 and 194.13

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Solution

The fourth proportional to 376.62, 565.04 and 194.13 is: 291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.62 : 565.04 = 194.13 : x
  2. Step 2: Convert to fraction form
    376.62/565.04 = 194.13/x
  3. Step 3: Cross multiply
    376.62x = 565.04 × 194.13
  4. Step 4: Simplify right side
    376.62x = 109,691.70
  5. Step 5: Solve for x
    x = 109,691.70/376.62
  6. Step 6: Final answer
    x = 291.26

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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.