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Finding the Fourth Proportional to 298.85, 412.43 and 180.90

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Solution

The fourth proportional to 298.85, 412.43 and 180.90 is: 249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.85 : 412.43 = 180.90 : x
  2. Step 2: Convert to fraction form
    298.85/412.43 = 180.90/x
  3. Step 3: Cross multiply
    298.85x = 412.43 × 180.90
  4. Step 4: Simplify right side
    298.85x = 74,607.68
  5. Step 5: Solve for x
    x = 74,607.68/298.85
  6. Step 6: Final answer
    x = 249.65

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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.