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Finding the Fourth Proportional to 146.90, 203.75 and 141.71

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Solution

The fourth proportional to 146.90, 203.75 and 141.71 is: 196.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.90 : 203.75 = 141.71 : x
  2. Step 2: Convert to fraction form
    146.90/203.75 = 141.71/x
  3. Step 3: Cross multiply
    146.90x = 203.75 × 141.71
  4. Step 4: Simplify right side
    146.90x = 28,873.41
  5. Step 5: Solve for x
    x = 28,873.41/146.90
  6. Step 6: Final answer
    x = 196.55

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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.