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Finding the Fourth Proportional to 377.80, 566.56 and 146.68

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Solution

The fourth proportional to 377.80, 566.56 and 146.68 is: 219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.80 : 566.56 = 146.68 : x
  2. Step 2: Convert to fraction form
    377.80/566.56 = 146.68/x
  3. Step 3: Cross multiply
    377.80x = 566.56 × 146.68
  4. Step 4: Simplify right side
    377.80x = 83,103.02
  5. Step 5: Solve for x
    x = 83,103.02/377.80
  6. Step 6: Final answer
    x = 219.97

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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.