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Finding the Fourth Proportional to 147.36, 220.78 and 122.84

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Solution

The fourth proportional to 147.36, 220.78 and 122.84 is: 184.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.36 : 220.78 = 122.84 : x
  2. Step 2: Convert to fraction form
    147.36/220.78 = 122.84/x
  3. Step 3: Cross multiply
    147.36x = 220.78 × 122.84
  4. Step 4: Simplify right side
    147.36x = 27,120.49
  5. Step 5: Solve for x
    x = 27,120.49/147.36
  6. Step 6: Final answer
    x = 184.04

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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.