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Finding the Fourth Proportional to 297.21, 410.27 and 180.75

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Solution

The fourth proportional to 297.21, 410.27 and 180.75 is: 249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.21 : 410.27 = 180.75 : x
  2. Step 2: Convert to fraction form
    297.21/410.27 = 180.75/x
  3. Step 3: Cross multiply
    297.21x = 410.27 × 180.75
  4. Step 4: Simplify right side
    297.21x = 74,155.40
  5. Step 5: Solve for x
    x = 74,155.40/297.21
  6. Step 6: Final answer
    x = 249.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.