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Finding the Fourth Proportional to 298.97, 412.59 and 180.98

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Solution

The fourth proportional to 298.97, 412.59 and 180.98 is: 249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.97 : 412.59 = 180.98 : x
  2. Step 2: Convert to fraction form
    298.97/412.59 = 180.98/x
  3. Step 3: Cross multiply
    298.97x = 412.59 × 180.98
  4. Step 4: Simplify right side
    298.97x = 74,673.02
  5. Step 5: Solve for x
    x = 74,673.02/298.97
  6. Step 6: Final answer
    x = 249.76

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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.