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Finding the Fourth Proportional to 148.22, 223.38 and 146.96

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Solution

The fourth proportional to 148.22, 223.38 and 146.96 is: 221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.22 : 223.38 = 146.96 : x
  2. Step 2: Convert to fraction form
    148.22/223.38 = 146.96/x
  3. Step 3: Cross multiply
    148.22x = 223.38 × 146.96
  4. Step 4: Simplify right side
    148.22x = 32,827.92
  5. Step 5: Solve for x
    x = 32,827.92/148.22
  6. Step 6: Final answer
    x = 221.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.