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Finding the Fourth Proportional to 148.26, 204.26 and 138.98

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Solution

The fourth proportional to 148.26, 204.26 and 138.98 is: 191.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.26 : 204.26 = 138.98 : x
  2. Step 2: Convert to fraction form
    148.26/204.26 = 138.98/x
  3. Step 3: Cross multiply
    148.26x = 204.26 × 138.98
  4. Step 4: Simplify right side
    148.26x = 28,388.05
  5. Step 5: Solve for x
    x = 28,388.05/148.26
  6. Step 6: Final answer
    x = 191.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.