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Finding the Fourth Proportional to 298.53, 411.92 and 180.48

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Solution

The fourth proportional to 298.53, 411.92 and 180.48 is: 249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.53 : 411.92 = 180.48 : x
  2. Step 2: Convert to fraction form
    298.53/411.92 = 180.48/x
  3. Step 3: Cross multiply
    298.53x = 411.92 × 180.48
  4. Step 4: Simplify right side
    298.53x = 74,340.36
  5. Step 5: Solve for x
    x = 74,340.36/298.53
  6. Step 6: Final answer
    x = 249.02

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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.