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Finding the Fourth Proportional to 298.36, 411.84 and 180.46

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Solution

The fourth proportional to 298.36, 411.84 and 180.46 is: 249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.36 : 411.84 = 180.46 : x
  2. Step 2: Convert to fraction form
    298.36/411.84 = 180.46/x
  3. Step 3: Cross multiply
    298.36x = 411.84 × 180.46
  4. Step 4: Simplify right side
    298.36x = 74,320.65
  5. Step 5: Solve for x
    x = 74,320.65/298.36
  6. Step 6: Final answer
    x = 249.10

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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.