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Finding the Fourth Proportional to 220.06, 303.50 and 185.50

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Solution

The fourth proportional to 220.06, 303.50 and 185.50 is: 255.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.06 : 303.50 = 185.50 : x
  2. Step 2: Convert to fraction form
    220.06/303.50 = 185.50/x
  3. Step 3: Cross multiply
    220.06x = 303.50 × 185.50
  4. Step 4: Simplify right side
    220.06x = 56,299.25
  5. Step 5: Solve for x
    x = 56,299.25/220.06
  6. Step 6: Final answer
    x = 255.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.