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Finding the Fourth Proportional to 298.22, 411.57 and 180.23

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Solution

The fourth proportional to 298.22, 411.57 and 180.23 is: 248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.22 : 411.57 = 180.23 : x
  2. Step 2: Convert to fraction form
    298.22/411.57 = 180.23/x
  3. Step 3: Cross multiply
    298.22x = 411.57 × 180.23
  4. Step 4: Simplify right side
    298.22x = 74,175.20
  5. Step 5: Solve for x
    x = 74,175.20/298.22
  6. Step 6: Final answer
    x = 248.73

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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.