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Finding the Fourth Proportional to 298.07, 411.38 and 180.05

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Solution

The fourth proportional to 298.07, 411.38 and 180.05 is: 248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.07 : 411.38 = 180.05 : x
  2. Step 2: Convert to fraction form
    298.07/411.38 = 180.05/x
  3. Step 3: Cross multiply
    298.07x = 411.38 × 180.05
  4. Step 4: Simplify right side
    298.07x = 74,067.04
  5. Step 5: Solve for x
    x = 74,067.04/298.07
  6. Step 6: Final answer
    x = 248.49

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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.