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Finding the Fourth Proportional to 148.61, 222.87 and 137.63

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Solution

The fourth proportional to 148.61, 222.87 and 137.63 is: 206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.61 : 222.87 = 137.63 : x
  2. Step 2: Convert to fraction form
    148.61/222.87 = 137.63/x
  3. Step 3: Cross multiply
    148.61x = 222.87 × 137.63
  4. Step 4: Simplify right side
    148.61x = 30,673.60
  5. Step 5: Solve for x
    x = 30,673.60/148.61
  6. Step 6: Final answer
    x = 206.40

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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.