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Finding the Fourth Proportional to 376.99, 565.41 and 133.49

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Solution

The fourth proportional to 376.99, 565.41 and 133.49 is: 200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.99 : 565.41 = 133.49 : x
  2. Step 2: Convert to fraction form
    376.99/565.41 = 133.49/x
  3. Step 3: Cross multiply
    376.99x = 565.41 × 133.49
  4. Step 4: Simplify right side
    376.99x = 75,473.75
  5. Step 5: Solve for x
    x = 75,473.75/376.99
  6. Step 6: Final answer
    x = 200.20

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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.