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Finding the Fourth Proportional to 376.69, 565.00 and 133.22

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Solution

The fourth proportional to 376.69, 565.00 and 133.22 is: 199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.69 : 565.00 = 133.22 : x
  2. Step 2: Convert to fraction form
    376.69/565.00 = 133.22/x
  3. Step 3: Cross multiply
    376.69x = 565.00 × 133.22
  4. Step 4: Simplify right side
    376.69x = 75,266.14
  5. Step 5: Solve for x
    x = 75,266.14/376.69
  6. Step 6: Final answer
    x = 199.81

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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.