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Finding the Fourth Proportional to 298.28, 446.74 and 161

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Solution

The fourth proportional to 298.28, 446.74 and 161 is: 241.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.28 : 446.74 = 161 : x
  2. Step 2: Convert to fraction form
    298.28/446.74 = 161/x
  3. Step 3: Cross multiply
    298.28x = 446.74 × 161
  4. Step 4: Simplify right side
    298.28x = 71,925.14
  5. Step 5: Solve for x
    x = 71,925.14/298.28
  6. Step 6: Final answer
    x = 241.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.