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Finding the Fourth Proportional to 244.08, 366.24 and 152.84

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Solution

The fourth proportional to 244.08, 366.24 and 152.84 is: 229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.08 : 366.24 = 152.84 : x
  2. Step 2: Convert to fraction form
    244.08/366.24 = 152.84/x
  3. Step 3: Cross multiply
    244.08x = 366.24 × 152.84
  4. Step 4: Simplify right side
    244.08x = 55,976.12
  5. Step 5: Solve for x
    x = 55,976.12/244.08
  6. Step 6: Final answer
    x = 229.34

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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.