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Finding the Fourth Proportional to 282.42, 389.61 and 199.33

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Solution

The fourth proportional to 282.42, 389.61 and 199.33 is: 274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.42 : 389.61 = 199.33 : x
  2. Step 2: Convert to fraction form
    282.42/389.61 = 199.33/x
  3. Step 3: Cross multiply
    282.42x = 389.61 × 199.33
  4. Step 4: Simplify right side
    282.42x = 77,659.99
  5. Step 5: Solve for x
    x = 77,659.99/282.42
  6. Step 6: Final answer
    x = 274.98

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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.