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Finding the Fourth Proportional to 147.98, 203.67 and 142.46

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Solution

The fourth proportional to 147.98, 203.67 and 142.46 is: 196.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.98 : 203.67 = 142.46 : x
  2. Step 2: Convert to fraction form
    147.98/203.67 = 142.46/x
  3. Step 3: Cross multiply
    147.98x = 203.67 × 142.46
  4. Step 4: Simplify right side
    147.98x = 29,014.83
  5. Step 5: Solve for x
    x = 29,014.83/147.98
  6. Step 6: Final answer
    x = 196.07

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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.