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Finding the Fourth Proportional to 377.16, 565.62 and 133.62

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Solution

The fourth proportional to 377.16, 565.62 and 133.62 is: 200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.16 : 565.62 = 133.62 : x
  2. Step 2: Convert to fraction form
    377.16/565.62 = 133.62/x
  3. Step 3: Cross multiply
    377.16x = 565.62 × 133.62
  4. Step 4: Simplify right side
    377.16x = 75,578.14
  5. Step 5: Solve for x
    x = 75,578.14/377.16
  6. Step 6: Final answer
    x = 200.39

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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.