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Finding the Fourth Proportional to 298.05, 411.32 and 167.07

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Solution

The fourth proportional to 298.05, 411.32 and 167.07 is: 230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.05 : 411.32 = 167.07 : x
  2. Step 2: Convert to fraction form
    298.05/411.32 = 167.07/x
  3. Step 3: Cross multiply
    298.05x = 411.32 × 167.07
  4. Step 4: Simplify right side
    298.05x = 68,719.23
  5. Step 5: Solve for x
    x = 68,719.23/298.05
  6. Step 6: Final answer
    x = 230.56

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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.