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Finding the Fourth Proportional to 298.98, 448.53 and 190.86

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Solution

The fourth proportional to 298.98, 448.53 and 190.86 is: 286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.98 : 448.53 = 190.86 : x
  2. Step 2: Convert to fraction form
    298.98/448.53 = 190.86/x
  3. Step 3: Cross multiply
    298.98x = 448.53 × 190.86
  4. Step 4: Simplify right side
    298.98x = 85,606.44
  5. Step 5: Solve for x
    x = 85,606.44/298.98
  6. Step 6: Final answer
    x = 286.33

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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.