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Finding the Fourth Proportional to 282.47, 389.97 and 199.67

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Solution

The fourth proportional to 282.47, 389.97 and 199.67 is: 275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.47 : 389.97 = 199.67 : x
  2. Step 2: Convert to fraction form
    282.47/389.97 = 199.67/x
  3. Step 3: Cross multiply
    282.47x = 389.97 × 199.67
  4. Step 4: Simplify right side
    282.47x = 77,863.36
  5. Step 5: Solve for x
    x = 77,863.36/282.47
  6. Step 6: Final answer
    x = 275.66

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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.