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Finding the Fourth Proportional to 297.96, 411.16 and 167

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Solution

The fourth proportional to 297.96, 411.16 and 167 is: 230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.96 : 411.16 = 167 : x
  2. Step 2: Convert to fraction form
    297.96/411.16 = 167/x
  3. Step 3: Cross multiply
    297.96x = 411.16 × 167
  4. Step 4: Simplify right side
    297.96x = 68,663.72
  5. Step 5: Solve for x
    x = 68,663.72/297.96
  6. Step 6: Final answer
    x = 230.45

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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.