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Finding the Fourth Proportional to 220.78, 330.86 and 105.13

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Solution

The fourth proportional to 220.78, 330.86 and 105.13 is: 157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.78 : 330.86 = 105.13 : x
  2. Step 2: Convert to fraction form
    220.78/330.86 = 105.13/x
  3. Step 3: Cross multiply
    220.78x = 330.86 × 105.13
  4. Step 4: Simplify right side
    220.78x = 34,783.40
  5. Step 5: Solve for x
    x = 34,783.40/220.78
  6. Step 6: Final answer
    x = 157.55

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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.