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Finding the Fourth Proportional to 298.51, 411.96 and 180.48

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Solution

The fourth proportional to 298.51, 411.96 and 180.48 is: 249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.51 : 411.96 = 180.48 : x
  2. Step 2: Convert to fraction form
    298.51/411.96 = 180.48/x
  3. Step 3: Cross multiply
    298.51x = 411.96 × 180.48
  4. Step 4: Simplify right side
    298.51x = 74,349.64
  5. Step 5: Solve for x
    x = 74,349.64/298.51
  6. Step 6: Final answer
    x = 249.07

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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.