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Finding the Fourth Proportional to 300.50, 414.83 and 176.12

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Solution

The fourth proportional to 300.50, 414.83 and 176.12 is: 243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.50 : 414.83 = 176.12 : x
  2. Step 2: Convert to fraction form
    300.50/414.83 = 176.12/x
  3. Step 3: Cross multiply
    300.50x = 414.83 × 176.12
  4. Step 4: Simplify right side
    300.50x = 73,056.90
  5. Step 5: Solve for x
    x = 73,056.90/300.50
  6. Step 6: Final answer
    x = 243.12

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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.