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Finding the Fourth Proportional to 297.32, 410.36 and 180.90

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Solution

The fourth proportional to 297.32, 410.36 and 180.90 is: 249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.32 : 410.36 = 180.90 : x
  2. Step 2: Convert to fraction form
    297.32/410.36 = 180.90/x
  3. Step 3: Cross multiply
    297.32x = 410.36 × 180.90
  4. Step 4: Simplify right side
    297.32x = 74,233.22
  5. Step 5: Solve for x
    x = 74,233.22/297.32
  6. Step 6: Final answer
    x = 249.68

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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.