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Finding the Fourth Proportional to 244.23, 366.05 and 114.06

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Solution

The fourth proportional to 244.23, 366.05 and 114.06 is: 170.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.23 : 366.05 = 114.06 : x
  2. Step 2: Convert to fraction form
    244.23/366.05 = 114.06/x
  3. Step 3: Cross multiply
    244.23x = 366.05 × 114.06
  4. Step 4: Simplify right side
    244.23x = 41,749.83
  5. Step 5: Solve for x
    x = 41,749.83/244.23
  6. Step 6: Final answer
    x = 170.94

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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.