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Finding the Fourth Proportional to 298.02, 446.86 and 206.76

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Solution

The fourth proportional to 298.02, 446.86 and 206.76 is: 310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.02 : 446.86 = 206.76 : x
  2. Step 2: Convert to fraction form
    298.02/446.86 = 206.76/x
  3. Step 3: Cross multiply
    298.02x = 446.86 × 206.76
  4. Step 4: Simplify right side
    298.02x = 92,392.26
  5. Step 5: Solve for x
    x = 92,392.26/298.02
  6. Step 6: Final answer
    x = 310.02

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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.