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Finding the Fourth Proportional to 185.02, 277.55 and 109.02

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Solution

The fourth proportional to 185.02, 277.55 and 109.02 is: 163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.02 : 277.55 = 109.02 : x
  2. Step 2: Convert to fraction form
    185.02/277.55 = 109.02/x
  3. Step 3: Cross multiply
    185.02x = 277.55 × 109.02
  4. Step 4: Simplify right side
    185.02x = 30,258.50
  5. Step 5: Solve for x
    x = 30,258.50/185.02
  6. Step 6: Final answer
    x = 163.54

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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.