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Finding the Fourth Proportional to 298.39, 447.79 and 125.20

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Solution

The fourth proportional to 298.39, 447.79 and 125.20 is: 187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.39 : 447.79 = 125.20 : x
  2. Step 2: Convert to fraction form
    298.39/447.79 = 125.20/x
  3. Step 3: Cross multiply
    298.39x = 447.79 × 125.20
  4. Step 4: Simplify right side
    298.39x = 56,064.70
  5. Step 5: Solve for x
    x = 56,064.70/298.39
  6. Step 6: Final answer
    x = 187.89

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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.