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Finding the Fourth Proportional to 146.57, 200.95 and 144.18

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Solution

The fourth proportional to 146.57, 200.95 and 144.18 is: 197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.57 : 200.95 = 144.18 : x
  2. Step 2: Convert to fraction form
    146.57/200.95 = 144.18/x
  3. Step 3: Cross multiply
    146.57x = 200.95 × 144.18
  4. Step 4: Simplify right side
    146.57x = 28,972.61
  5. Step 5: Solve for x
    x = 28,972.61/146.57
  6. Step 6: Final answer
    x = 197.68

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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.