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Finding the Fourth Proportional to 297.02, 445.23 and 114.30

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Solution

The fourth proportional to 297.02, 445.23 and 114.30 is: 171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.02 : 445.23 = 114.30 : x
  2. Step 2: Convert to fraction form
    297.02/445.23 = 114.30/x
  3. Step 3: Cross multiply
    297.02x = 445.23 × 114.30
  4. Step 4: Simplify right side
    297.02x = 50,889.79
  5. Step 5: Solve for x
    x = 50,889.79/297.02
  6. Step 6: Final answer
    x = 171.33

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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.