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Finding the Fourth Proportional to 300.92, 415.19 and 176.54

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Solution

The fourth proportional to 300.92, 415.19 and 176.54 is: 243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.92 : 415.19 = 176.54 : x
  2. Step 2: Convert to fraction form
    300.92/415.19 = 176.54/x
  3. Step 3: Cross multiply
    300.92x = 415.19 × 176.54
  4. Step 4: Simplify right side
    300.92x = 73,296.01
  5. Step 5: Solve for x
    x = 73,296.01/300.92
  6. Step 6: Final answer
    x = 243.58

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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.