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Finding the Fourth Proportional to 298.09, 447.21 and 124.66

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Solution

The fourth proportional to 298.09, 447.21 and 124.66 is: 187.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.09 : 447.21 = 124.66 : x
  2. Step 2: Convert to fraction form
    298.09/447.21 = 124.66/x
  3. Step 3: Cross multiply
    298.09x = 447.21 × 124.66
  4. Step 4: Simplify right side
    298.09x = 55,751.37
  5. Step 5: Solve for x
    x = 55,751.37/298.09
  6. Step 6: Final answer
    x = 187.03

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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.