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Finding the Fourth Proportional to 220.54, 330.81 and 92.30

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Solution

The fourth proportional to 220.54, 330.81 and 92.30 is: 138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.54 : 330.81 = 92.30 : x
  2. Step 2: Convert to fraction form
    220.54/330.81 = 92.30/x
  3. Step 3: Cross multiply
    220.54x = 330.81 × 92.30
  4. Step 4: Simplify right side
    220.54x = 30,533.76
  5. Step 5: Solve for x
    x = 30,533.76/220.54
  6. Step 6: Final answer
    x = 138.45

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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.