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Finding the Fourth Proportional to 377.45, 566.37 and 146.33

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Solution

The fourth proportional to 377.45, 566.37 and 146.33 is: 219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.45 : 566.37 = 146.33 : x
  2. Step 2: Convert to fraction form
    377.45/566.37 = 146.33/x
  3. Step 3: Cross multiply
    377.45x = 566.37 × 146.33
  4. Step 4: Simplify right side
    377.45x = 82,874.09
  5. Step 5: Solve for x
    x = 82,874.09/377.45
  6. Step 6: Final answer
    x = 219.57

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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.