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Finding the Fourth Proportional to 298.15, 446.81 and 115.40

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Solution

The fourth proportional to 298.15, 446.81 and 115.40 is: 172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.15 : 446.81 = 115.40 : x
  2. Step 2: Convert to fraction form
    298.15/446.81 = 115.40/x
  3. Step 3: Cross multiply
    298.15x = 446.81 × 115.40
  4. Step 4: Simplify right side
    298.15x = 51,562.41
  5. Step 5: Solve for x
    x = 51,562.41/298.15
  6. Step 6: Final answer
    x = 172.94

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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.