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Finding the Fourth Proportional to 298.46, 411.86 and 167.47

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Solution

The fourth proportional to 298.46, 411.86 and 167.47 is: 231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.46 : 411.86 = 167.47 : x
  2. Step 2: Convert to fraction form
    298.46/411.86 = 167.47/x
  3. Step 3: Cross multiply
    298.46x = 411.86 × 167.47
  4. Step 4: Simplify right side
    298.46x = 68,973.58
  5. Step 5: Solve for x
    x = 68,973.58/298.46
  6. Step 6: Final answer
    x = 231.10

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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.