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Finding the Fourth Proportional to 298.37, 411.80 and 180.43

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Solution

The fourth proportional to 298.37, 411.80 and 180.43 is: 249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.37 : 411.80 = 180.43 : x
  2. Step 2: Convert to fraction form
    298.37/411.80 = 180.43/x
  3. Step 3: Cross multiply
    298.37x = 411.80 × 180.43
  4. Step 4: Simplify right side
    298.37x = 74,300.17
  5. Step 5: Solve for x
    x = 74,300.17/298.37
  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.