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Finding the Fourth Proportional to 281.76, 389.01 and 182.21

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Solution

The fourth proportional to 281.76, 389.01 and 182.21 is: 251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.76 : 389.01 = 182.21 : x
  2. Step 2: Convert to fraction form
    281.76/389.01 = 182.21/x
  3. Step 3: Cross multiply
    281.76x = 389.01 × 182.21
  4. Step 4: Simplify right side
    281.76x = 70,881.51
  5. Step 5: Solve for x
    x = 70,881.51/281.76
  6. Step 6: Final answer
    x = 251.57

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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.