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Finding the Fourth Proportional to 146.98, 220.56 and 82.84

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Solution

The fourth proportional to 146.98, 220.56 and 82.84 is: 124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.98 : 220.56 = 82.84 : x
  2. Step 2: Convert to fraction form
    146.98/220.56 = 82.84/x
  3. Step 3: Cross multiply
    146.98x = 220.56 × 82.84
  4. Step 4: Simplify right side
    146.98x = 18,271.19
  5. Step 5: Solve for x
    x = 18,271.19/146.98
  6. Step 6: Final answer
    x = 124.31

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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.