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Finding the Fourth Proportional to 164.58, 246.96 and 147.54

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Solution

The fourth proportional to 164.58, 246.96 and 147.54 is: 221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.58 : 246.96 = 147.54 : x
  2. Step 2: Convert to fraction form
    164.58/246.96 = 147.54/x
  3. Step 3: Cross multiply
    164.58x = 246.96 × 147.54
  4. Step 4: Simplify right side
    164.58x = 36,436.48
  5. Step 5: Solve for x
    x = 36,436.48/164.58
  6. Step 6: Final answer
    x = 221.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.