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Finding the Fourth Proportional to 298.42, 411.80 and 167.42

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Solution

The fourth proportional to 298.42, 411.80 and 167.42 is: 231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.42 : 411.80 = 167.42 : x
  2. Step 2: Convert to fraction form
    298.42/411.80 = 167.42/x
  3. Step 3: Cross multiply
    298.42x = 411.80 × 167.42
  4. Step 4: Simplify right side
    298.42x = 68,943.75
  5. Step 5: Solve for x
    x = 68,943.75/298.42
  6. Step 6: Final answer
    x = 231.03

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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.