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Finding the Fourth Proportional to 297.32, 445.97 and 114.71

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Solution

The fourth proportional to 297.32, 445.97 and 114.71 is: 172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.32 : 445.97 = 114.71 : x
  2. Step 2: Convert to fraction form
    297.32/445.97 = 114.71/x
  3. Step 3: Cross multiply
    297.32x = 445.97 × 114.71
  4. Step 4: Simplify right side
    297.32x = 51,154.42
  5. Step 5: Solve for x
    x = 51,154.42/297.32
  6. Step 6: Final answer
    x = 172.05

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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.