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Finding the Fourth Proportional to 298.88, 412.62 and 180.88

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Solution

The fourth proportional to 298.88, 412.62 and 180.88 is: 249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.88 : 412.62 = 180.88 : x
  2. Step 2: Convert to fraction form
    298.88/412.62 = 180.88/x
  3. Step 3: Cross multiply
    298.88x = 412.62 × 180.88
  4. Step 4: Simplify right side
    298.88x = 74,633.67
  5. Step 5: Solve for x
    x = 74,633.67/298.88
  6. Step 6: Final answer
    x = 249.71

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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.