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Finding the Fourth Proportional to 203.63, 281.15 and 145.31

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Solution

The fourth proportional to 203.63, 281.15 and 145.31 is: 200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.63 : 281.15 = 145.31 : x
  2. Step 2: Convert to fraction form
    203.63/281.15 = 145.31/x
  3. Step 3: Cross multiply
    203.63x = 281.15 × 145.31
  4. Step 4: Simplify right side
    203.63x = 40,851.77
  5. Step 5: Solve for x
    x = 40,851.77/203.63
  6. Step 6: Final answer
    x = 200.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.