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Finding the Fourth Proportional to 146.94, 204.16 and 144.98

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Solution

The fourth proportional to 146.94, 204.16 and 144.98 is: 201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.94 : 204.16 = 144.98 : x
  2. Step 2: Convert to fraction form
    146.94/204.16 = 144.98/x
  3. Step 3: Cross multiply
    146.94x = 204.16 × 144.98
  4. Step 4: Simplify right side
    146.94x = 29,599.12
  5. Step 5: Solve for x
    x = 29,599.12/146.94
  6. Step 6: Final answer
    x = 201.44

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.