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Finding the Fourth Proportional to 146, 218.80 and 137.36

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Solution

The fourth proportional to 146, 218.80 and 137.36 is: 205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146 : 218.80 = 137.36 : x
  2. Step 2: Convert to fraction form
    146/218.80 = 137.36/x
  3. Step 3: Cross multiply
    146x = 218.80 × 137.36
  4. Step 4: Simplify right side
    146x = 30,054.37
  5. Step 5: Solve for x
    x = 30,054.37/146
  6. Step 6: Final answer
    x = 205.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.