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Finding the Fourth Proportional to 164.46, 226.05 and 147.72

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Solution

The fourth proportional to 164.46, 226.05 and 147.72 is: 203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.46 : 226.05 = 147.72 : x
  2. Step 2: Convert to fraction form
    164.46/226.05 = 147.72/x
  3. Step 3: Cross multiply
    164.46x = 226.05 × 147.72
  4. Step 4: Simplify right side
    164.46x = 33,392.11
  5. Step 5: Solve for x
    x = 33,392.11/164.46
  6. Step 6: Final answer
    x = 203.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.