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Finding the Fourth Proportional to 300.52, 414.74 and 167.76

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Solution

The fourth proportional to 300.52, 414.74 and 167.76 is: 231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.52 : 414.74 = 167.76 : x
  2. Step 2: Convert to fraction form
    300.52/414.74 = 167.76/x
  3. Step 3: Cross multiply
    300.52x = 414.74 × 167.76
  4. Step 4: Simplify right side
    300.52x = 69,576.78
  5. Step 5: Solve for x
    x = 69,576.78/300.52
  6. Step 6: Final answer
    x = 231.52

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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.