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Finding the Fourth Proportional to 282.09, 389.14 and 183.81

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Solution

The fourth proportional to 282.09, 389.14 and 183.81 is: 253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.09 : 389.14 = 183.81 : x
  2. Step 2: Convert to fraction form
    282.09/389.14 = 183.81/x
  3. Step 3: Cross multiply
    282.09x = 389.14 × 183.81
  4. Step 4: Simplify right side
    282.09x = 71,527.82
  5. Step 5: Solve for x
    x = 71,527.82/282.09
  6. Step 6: Final answer
    x = 253.56

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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.