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Finding the Fourth Proportional to 298.90, 412.42 and 180.85

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Solution

The fourth proportional to 298.90, 412.42 and 180.85 is: 249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.90 : 412.42 = 180.85 : x
  2. Step 2: Convert to fraction form
    298.90/412.42 = 180.85/x
  3. Step 3: Cross multiply
    298.90x = 412.42 × 180.85
  4. Step 4: Simplify right side
    298.90x = 74,586.16
  5. Step 5: Solve for x
    x = 74,586.16/298.90
  6. Step 6: Final answer
    x = 249.54

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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.