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Finding the Fourth Proportional to 220.55, 304.12 and 185.55

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Solution

The fourth proportional to 220.55, 304.12 and 185.55 is: 255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.55 : 304.12 = 185.55 : x
  2. Step 2: Convert to fraction form
    220.55/304.12 = 185.55/x
  3. Step 3: Cross multiply
    220.55x = 304.12 × 185.55
  4. Step 4: Simplify right side
    220.55x = 56,429.47
  5. Step 5: Solve for x
    x = 56,429.47/220.55
  6. Step 6: Final answer
    x = 255.86

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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.