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Finding the Fourth Proportional to 298.09, 446.35 and 210.96

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Solution

The fourth proportional to 298.09, 446.35 and 210.96 is: 315.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.09 : 446.35 = 210.96 : x
  2. Step 2: Convert to fraction form
    298.09/446.35 = 210.96/x
  3. Step 3: Cross multiply
    298.09x = 446.35 × 210.96
  4. Step 4: Simplify right side
    298.09x = 94,162.00
  5. Step 5: Solve for x
    x = 94,162.00/298.09
  6. Step 6: Final answer
    x = 315.88

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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.