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Finding the Fourth Proportional to 298.71, 447.56 and 116.00

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Solution

The fourth proportional to 298.71, 447.56 and 116.00 is: 173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.71 : 447.56 = 116.00 : x
  2. Step 2: Convert to fraction form
    298.71/447.56 = 116.00/x
  3. Step 3: Cross multiply
    298.71x = 447.56 × 116.00
  4. Step 4: Simplify right side
    298.71x = 51,918.37
  5. Step 5: Solve for x
    x = 51,918.37/298.71
  6. Step 6: Final answer
    x = 173.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.