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Finding the Fourth Proportional to 300.80, 415.11 and 176.55

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Solution

The fourth proportional to 300.80, 415.11 and 176.55 is: 243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.80 : 415.11 = 176.55 : x
  2. Step 2: Convert to fraction form
    300.80/415.11 = 176.55/x
  3. Step 3: Cross multiply
    300.80x = 415.11 × 176.55
  4. Step 4: Simplify right side
    300.80x = 73,287.67
  5. Step 5: Solve for x
    x = 73,287.67/300.80
  6. Step 6: Final answer
    x = 243.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.