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Finding the Fourth Proportional to 205.44, 308.28 and 120

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Solution

The fourth proportional to 205.44, 308.28 and 120 is: 180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.44 : 308.28 = 120 : x
  2. Step 2: Convert to fraction form
    205.44/308.28 = 120/x
  3. Step 3: Cross multiply
    205.44x = 308.28 × 120
  4. Step 4: Simplify right side
    205.44x = 36,993.60
  5. Step 5: Solve for x
    x = 36,993.60/205.44
  6. Step 6: Final answer
    x = 180.07

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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.