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Finding the Fourth Proportional to 281.99, 389.51 and 199.50

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Solution

The fourth proportional to 281.99, 389.51 and 199.50 is: 275.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.99 : 389.51 = 199.50 : x
  2. Step 2: Convert to fraction form
    281.99/389.51 = 199.50/x
  3. Step 3: Cross multiply
    281.99x = 389.51 × 199.50
  4. Step 4: Simplify right side
    281.99x = 77,706.25
  5. Step 5: Solve for x
    x = 77,706.25/281.99
  6. Step 6: Final answer
    x = 275.57

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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.