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Finding the Fourth Proportional to 298.09, 446.84 and 115.35

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Solution

The fourth proportional to 298.09, 446.84 and 115.35 is: 172.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.09 : 446.84 = 115.35 : x
  2. Step 2: Convert to fraction form
    298.09/446.84 = 115.35/x
  3. Step 3: Cross multiply
    298.09x = 446.84 × 115.35
  4. Step 4: Simplify right side
    298.09x = 51,542.99
  5. Step 5: Solve for x
    x = 51,542.99/298.09
  6. Step 6: Final answer
    x = 172.91

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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.