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Finding the Fourth Proportional to 148.35, 222.93 and 129.54

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Solution

The fourth proportional to 148.35, 222.93 and 129.54 is: 194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.35 : 222.93 = 129.54 : x
  2. Step 2: Convert to fraction form
    148.35/222.93 = 129.54/x
  3. Step 3: Cross multiply
    148.35x = 222.93 × 129.54
  4. Step 4: Simplify right side
    148.35x = 28,876.59
  5. Step 5: Solve for x
    x = 28,876.59/148.35
  6. Step 6: Final answer
    x = 194.66

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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.