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Finding the Fourth Proportional to 147.44, 219.94 and 135.32

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Solution

The fourth proportional to 147.44, 219.94 and 135.32 is: 201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.44 : 219.94 = 135.32 : x
  2. Step 2: Convert to fraction form
    147.44/219.94 = 135.32/x
  3. Step 3: Cross multiply
    147.44x = 219.94 × 135.32
  4. Step 4: Simplify right side
    147.44x = 29,762.28
  5. Step 5: Solve for x
    x = 29,762.28/147.44
  6. Step 6: Final answer
    x = 201.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.