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Finding the Fourth Proportional to 146.98, 202.54 and 137.46

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Solution

The fourth proportional to 146.98, 202.54 and 137.46 is: 189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.98 : 202.54 = 137.46 : x
  2. Step 2: Convert to fraction form
    146.98/202.54 = 137.46/x
  3. Step 3: Cross multiply
    146.98x = 202.54 × 137.46
  4. Step 4: Simplify right side
    146.98x = 27,841.15
  5. Step 5: Solve for x
    x = 27,841.15/146.98
  6. Step 6: Final answer
    x = 189.42

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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.