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Finding the Fourth Proportional to 297.41, 446.09 and 114.81

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Solution

The fourth proportional to 297.41, 446.09 and 114.81 is: 172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.41 : 446.09 = 114.81 : x
  2. Step 2: Convert to fraction form
    297.41/446.09 = 114.81/x
  3. Step 3: Cross multiply
    297.41x = 446.09 × 114.81
  4. Step 4: Simplify right side
    297.41x = 51,215.02
  5. Step 5: Solve for x
    x = 51,215.02/297.41
  6. Step 6: Final answer
    x = 172.21

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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.