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Finding the Fourth Proportional to 378.09, 566.77 and 146.80

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Solution

The fourth proportional to 378.09, 566.77 and 146.80 is: 220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.09 : 566.77 = 146.80 : x
  2. Step 2: Convert to fraction form
    378.09/566.77 = 146.80/x
  3. Step 3: Cross multiply
    378.09x = 566.77 × 146.80
  4. Step 4: Simplify right side
    378.09x = 83,198.27
  5. Step 5: Solve for x
    x = 83,198.27/378.09
  6. Step 6: Final answer
    x = 220.05

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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.