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Finding the Fourth Proportional to 377.87, 566.67 and 131.01

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Solution

The fourth proportional to 377.87, 566.67 and 131.01 is: 196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.87 : 566.67 = 131.01 : x
  2. Step 2: Convert to fraction form
    377.87/566.67 = 131.01/x
  3. Step 3: Cross multiply
    377.87x = 566.67 × 131.01
  4. Step 4: Simplify right side
    377.87x = 74,239.76
  5. Step 5: Solve for x
    x = 74,239.76/377.87
  6. Step 6: Final answer
    x = 196.47

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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.