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Finding the Fourth Proportional to 147.98, 204.49 and 142.31

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Solution

The fourth proportional to 147.98, 204.49 and 142.31 is: 196.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.98 : 204.49 = 142.31 : x
  2. Step 2: Convert to fraction form
    147.98/204.49 = 142.31/x
  3. Step 3: Cross multiply
    147.98x = 204.49 × 142.31
  4. Step 4: Simplify right side
    147.98x = 29,101.66
  5. Step 5: Solve for x
    x = 29,101.66/147.98
  6. Step 6: Final answer
    x = 196.66

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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.