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Finding the Fourth Proportional to 298.94, 448.42 and 127.94

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Solution

The fourth proportional to 298.94, 448.42 and 127.94 is: 191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.94 : 448.42 = 127.94 : x
  2. Step 2: Convert to fraction form
    298.94/448.42 = 127.94/x
  3. Step 3: Cross multiply
    298.94x = 448.42 × 127.94
  4. Step 4: Simplify right side
    298.94x = 57,370.85
  5. Step 5: Solve for x
    x = 57,370.85/298.94
  6. Step 6: Final answer
    x = 191.91

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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.