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Finding the Fourth Proportional to 203.00, 305.19 and 142.38

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Solution

The fourth proportional to 203.00, 305.19 and 142.38 is: 214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.00 : 305.19 = 142.38 : x
  2. Step 2: Convert to fraction form
    203.00/305.19 = 142.38/x
  3. Step 3: Cross multiply
    203.00x = 305.19 × 142.38
  4. Step 4: Simplify right side
    203.00x = 43,452.95
  5. Step 5: Solve for x
    x = 43,452.95/203.00
  6. Step 6: Final answer
    x = 214.06

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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.