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Finding the Fourth Proportional to 149.44, 204.77 and 147.88

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Solution

The fourth proportional to 149.44, 204.77 and 147.88 is: 202.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.44 : 204.77 = 147.88 : x
  2. Step 2: Convert to fraction form
    149.44/204.77 = 147.88/x
  3. Step 3: Cross multiply
    149.44x = 204.77 × 147.88
  4. Step 4: Simplify right side
    149.44x = 30,281.39
  5. Step 5: Solve for x
    x = 30,281.39/149.44
  6. Step 6: Final answer
    x = 202.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.