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Finding the Fourth Proportional to 281.94, 389.10 and 183.78

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Solution

The fourth proportional to 281.94, 389.10 and 183.78 is: 253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.94 : 389.10 = 183.78 : x
  2. Step 2: Convert to fraction form
    281.94/389.10 = 183.78/x
  3. Step 3: Cross multiply
    281.94x = 389.10 × 183.78
  4. Step 4: Simplify right side
    281.94x = 71,508.80
  5. Step 5: Solve for x
    x = 71,508.80/281.94
  6. Step 6: Final answer
    x = 253.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.