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Finding the Fourth Proportional to 148.53, 223.93 and 138.09

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Solution

The fourth proportional to 148.53, 223.93 and 138.09 is: 208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.53 : 223.93 = 138.09 : x
  2. Step 2: Convert to fraction form
    148.53/223.93 = 138.09/x
  3. Step 3: Cross multiply
    148.53x = 223.93 × 138.09
  4. Step 4: Simplify right side
    148.53x = 30,921.80
  5. Step 5: Solve for x
    x = 30,921.80/148.53
  6. Step 6: Final answer
    x = 208.19

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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.