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Finding the Fourth Proportional to 300.70, 414.96 and 176.43

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Solution

The fourth proportional to 300.70, 414.96 and 176.43 is: 243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.70 : 414.96 = 176.43 : x
  2. Step 2: Convert to fraction form
    300.70/414.96 = 176.43/x
  3. Step 3: Cross multiply
    300.70x = 414.96 × 176.43
  4. Step 4: Simplify right side
    300.70x = 73,209.95
  5. Step 5: Solve for x
    x = 73,209.95/300.70
  6. Step 6: Final answer
    x = 243.47

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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.