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Finding the Fourth Proportional to 281.83, 388.91 and 182.13

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Solution

The fourth proportional to 281.83, 388.91 and 182.13 is: 251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.83 : 388.91 = 182.13 : x
  2. Step 2: Convert to fraction form
    281.83/388.91 = 182.13/x
  3. Step 3: Cross multiply
    281.83x = 388.91 × 182.13
  4. Step 4: Simplify right side
    281.83x = 70,831.27
  5. Step 5: Solve for x
    x = 70,831.27/281.83
  6. Step 6: Final answer
    x = 251.33

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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.