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Finding the Fourth Proportional to 298.73, 412.19 and 167.74

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Solution

The fourth proportional to 298.73, 412.19 and 167.74 is: 231.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.73 : 412.19 = 167.74 : x
  2. Step 2: Convert to fraction form
    298.73/412.19 = 167.74/x
  3. Step 3: Cross multiply
    298.73x = 412.19 × 167.74
  4. Step 4: Simplify right side
    298.73x = 69,139.51
  5. Step 5: Solve for x
    x = 69,139.51/298.73
  6. Step 6: Final answer
    x = 231.44

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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.