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Finding the Fourth Proportional to 298.72, 448.48 and 190.56

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Solution

The fourth proportional to 298.72, 448.48 and 190.56 is: 286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.72 : 448.48 = 190.56 : x
  2. Step 2: Convert to fraction form
    298.72/448.48 = 190.56/x
  3. Step 3: Cross multiply
    298.72x = 448.48 × 190.56
  4. Step 4: Simplify right side
    298.72x = 85,462.35
  5. Step 5: Solve for x
    x = 85,462.35/298.72
  6. Step 6: Final answer
    x = 286.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.