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Finding the Fourth Proportional to 300.47, 414.67 and 176.27

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Solution

The fourth proportional to 300.47, 414.67 and 176.27 is: 243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.47 : 414.67 = 176.27 : x
  2. Step 2: Convert to fraction form
    300.47/414.67 = 176.27/x
  3. Step 3: Cross multiply
    300.47x = 414.67 × 176.27
  4. Step 4: Simplify right side
    300.47x = 73,093.88
  5. Step 5: Solve for x
    x = 73,093.88/300.47
  6. Step 6: Final answer
    x = 243.27

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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.