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Finding the Fourth Proportional to 146.18, 220.30 and 137.06

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Solution

The fourth proportional to 146.18, 220.30 and 137.06 is: 206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.18 : 220.30 = 137.06 : x
  2. Step 2: Convert to fraction form
    146.18/220.30 = 137.06/x
  3. Step 3: Cross multiply
    146.18x = 220.30 × 137.06
  4. Step 4: Simplify right side
    146.18x = 30,194.32
  5. Step 5: Solve for x
    x = 30,194.32/146.18
  6. Step 6: Final answer
    x = 206.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.