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Finding the Fourth Proportional to 298.77, 412.29 and 167.78

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Solution

The fourth proportional to 298.77, 412.29 and 167.78 is: 231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.77 : 412.29 = 167.78 : x
  2. Step 2: Convert to fraction form
    298.77/412.29 = 167.78/x
  3. Step 3: Cross multiply
    298.77x = 412.29 × 167.78
  4. Step 4: Simplify right side
    298.77x = 69,175.05
  5. Step 5: Solve for x
    x = 69,175.05/298.77
  6. Step 6: Final answer
    x = 231.54

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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.