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Finding the Fourth Proportional to 280.42, 418.91 and 182.11

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Solution

The fourth proportional to 280.42, 418.91 and 182.11 is: 272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.42 : 418.91 = 182.11 : x
  2. Step 2: Convert to fraction form
    280.42/418.91 = 182.11/x
  3. Step 3: Cross multiply
    280.42x = 418.91 × 182.11
  4. Step 4: Simplify right side
    280.42x = 76,287.70
  5. Step 5: Solve for x
    x = 76,287.70/280.42
  6. Step 6: Final answer
    x = 272.05

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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.