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Finding the Fourth Proportional to 281.01, 419.61 and 255.45

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Solution

The fourth proportional to 281.01, 419.61 and 255.45 is: 381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.01 : 419.61 = 255.45 : x
  2. Step 2: Convert to fraction form
    281.01/419.61 = 255.45/x
  3. Step 3: Cross multiply
    281.01x = 419.61 × 255.45
  4. Step 4: Simplify right side
    281.01x = 107,189.37
  5. Step 5: Solve for x
    x = 107,189.37/281.01
  6. Step 6: Final answer
    x = 381.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.