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Finding the Fourth Proportional to 297.53, 446.17 and 114.80

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Solution

The fourth proportional to 297.53, 446.17 and 114.80 is: 172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.53 : 446.17 = 114.80 : x
  2. Step 2: Convert to fraction form
    297.53/446.17 = 114.80/x
  3. Step 3: Cross multiply
    297.53x = 446.17 × 114.80
  4. Step 4: Simplify right side
    297.53x = 51,218.28
  5. Step 5: Solve for x
    x = 51,218.28/297.53
  6. Step 6: Final answer
    x = 172.14

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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.