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Finding the Fourth Proportional to 366.24, 548.84 and 149.70

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Solution

The fourth proportional to 366.24, 548.84 and 149.70 is: 224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.24 : 548.84 = 149.70 : x
  2. Step 2: Convert to fraction form
    366.24/548.84 = 149.70/x
  3. Step 3: Cross multiply
    366.24x = 548.84 × 149.70
  4. Step 4: Simplify right side
    366.24x = 82,161.35
  5. Step 5: Solve for x
    x = 82,161.35/366.24
  6. Step 6: Final answer
    x = 224.34

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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.