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Finding the Fourth Proportional to 146.63, 202.76 and 140.19

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Solution

The fourth proportional to 146.63, 202.76 and 140.19 is: 193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.63 : 202.76 = 140.19 : x
  2. Step 2: Convert to fraction form
    146.63/202.76 = 140.19/x
  3. Step 3: Cross multiply
    146.63x = 202.76 × 140.19
  4. Step 4: Simplify right side
    146.63x = 28,424.22
  5. Step 5: Solve for x
    x = 28,424.22/146.63
  6. Step 6: Final answer
    x = 193.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.