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Finding the Fourth Proportional to 300.74, 415.06 and 176.38

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Solution

The fourth proportional to 300.74, 415.06 and 176.38 is: 243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.74 : 415.06 = 176.38 : x
  2. Step 2: Convert to fraction form
    300.74/415.06 = 176.38/x
  3. Step 3: Cross multiply
    300.74x = 415.06 × 176.38
  4. Step 4: Simplify right side
    300.74x = 73,208.28
  5. Step 5: Solve for x
    x = 73,208.28/300.74
  6. Step 6: Final answer
    x = 243.43

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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.