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Finding the Fourth Proportional to 298.95, 448.44 and 154.59

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Solution

The fourth proportional to 298.95, 448.44 and 154.59 is: 231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.95 : 448.44 = 154.59 : x
  2. Step 2: Convert to fraction form
    298.95/448.44 = 154.59/x
  3. Step 3: Cross multiply
    298.95x = 448.44 × 154.59
  4. Step 4: Simplify right side
    298.95x = 69,324.34
  5. Step 5: Solve for x
    x = 69,324.34/298.95
  6. Step 6: Final answer
    x = 231.89

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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.