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Finding the Fourth Proportional to 282.02, 389.06 and 199.13

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Solution

The fourth proportional to 282.02, 389.06 and 199.13 is: 274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.02 : 389.06 = 199.13 : x
  2. Step 2: Convert to fraction form
    282.02/389.06 = 199.13/x
  3. Step 3: Cross multiply
    282.02x = 389.06 × 199.13
  4. Step 4: Simplify right side
    282.02x = 77,473.52
  5. Step 5: Solve for x
    x = 77,473.52/282.02
  6. Step 6: Final answer
    x = 274.71

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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.