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Finding the Fourth Proportional to 203.83, 305.74 and 143.23

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Solution

The fourth proportional to 203.83, 305.74 and 143.23 is: 214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.83 : 305.74 = 143.23 : x
  2. Step 2: Convert to fraction form
    203.83/305.74 = 143.23/x
  3. Step 3: Cross multiply
    203.83x = 305.74 × 143.23
  4. Step 4: Simplify right side
    203.83x = 43,790.02
  5. Step 5: Solve for x
    x = 43,790.02/203.83
  6. Step 6: Final answer
    x = 214.84

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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.