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Finding the Fourth Proportional to 298.81, 412.33 and 167.81

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Solution

The fourth proportional to 298.81, 412.33 and 167.81 is: 231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.81 : 412.33 = 167.81 : x
  2. Step 2: Convert to fraction form
    298.81/412.33 = 167.81/x
  3. Step 3: Cross multiply
    298.81x = 412.33 × 167.81
  4. Step 4: Simplify right side
    298.81x = 69,193.10
  5. Step 5: Solve for x
    x = 69,193.10/298.81
  6. Step 6: Final answer
    x = 231.56

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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.