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Finding the Fourth Proportional to 203.60, 281.02 and 144.68

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Solution

The fourth proportional to 203.60, 281.02 and 144.68 is: 199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.60 : 281.02 = 144.68 : x
  2. Step 2: Convert to fraction form
    203.60/281.02 = 144.68/x
  3. Step 3: Cross multiply
    203.60x = 281.02 × 144.68
  4. Step 4: Simplify right side
    203.60x = 40,656.21
  5. Step 5: Solve for x
    x = 40,656.21/203.60
  6. Step 6: Final answer
    x = 199.68

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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.