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Finding the Fourth Proportional to 377.26, 565.90 and 146.14

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Solution

The fourth proportional to 377.26, 565.90 and 146.14 is: 219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.26 : 565.90 = 146.14 : x
  2. Step 2: Convert to fraction form
    377.26/565.90 = 146.14/x
  3. Step 3: Cross multiply
    377.26x = 565.90 × 146.14
  4. Step 4: Simplify right side
    377.26x = 82,698.85
  5. Step 5: Solve for x
    x = 82,698.85/377.26
  6. Step 6: Final answer
    x = 219.21

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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.