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Finding the Fourth Proportional to 377.37, 565.83 and 133.83

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Solution

The fourth proportional to 377.37, 565.83 and 133.83 is: 200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.37 : 565.83 = 133.83 : x
  2. Step 2: Convert to fraction form
    377.37/565.83 = 133.83/x
  3. Step 3: Cross multiply
    377.37x = 565.83 × 133.83
  4. Step 4: Simplify right side
    377.37x = 75,725.03
  5. Step 5: Solve for x
    x = 75,725.03/377.37
  6. Step 6: Final answer
    x = 200.67

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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.