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Finding the Fourth Proportional to 203.93, 305.57 and 180.84

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Solution

The fourth proportional to 203.93, 305.57 and 180.84 is: 270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.93 : 305.57 = 180.84 : x
  2. Step 2: Convert to fraction form
    203.93/305.57 = 180.84/x
  3. Step 3: Cross multiply
    203.93x = 305.57 × 180.84
  4. Step 4: Simplify right side
    203.93x = 55,259.28
  5. Step 5: Solve for x
    x = 55,259.28/203.93
  6. Step 6: Final answer
    x = 270.97

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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.