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Finding the Fourth Proportional to 490.44, 735.66 and 148.44

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Solution

The fourth proportional to 490.44, 735.66 and 148.44 is: 222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.44 : 735.66 = 148.44 : x
  2. Step 2: Convert to fraction form
    490.44/735.66 = 148.44/x
  3. Step 3: Cross multiply
    490.44x = 735.66 × 148.44
  4. Step 4: Simplify right side
    490.44x = 109,200.63
  5. Step 5: Solve for x
    x = 109,200.63/490.44
  6. Step 6: Final answer
    x = 222.66

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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.