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Finding the Fourth Proportional to 281.54, 419.69 and 266.15

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Solution

The fourth proportional to 281.54, 419.69 and 266.15 is: 396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.54 : 419.69 = 266.15 : x
  2. Step 2: Convert to fraction form
    281.54/419.69 = 266.15/x
  3. Step 3: Cross multiply
    281.54x = 419.69 × 266.15
  4. Step 4: Simplify right side
    281.54x = 111,697.06
  5. Step 5: Solve for x
    x = 111,697.06/281.54
  6. Step 6: Final answer
    x = 396.74

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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.