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Finding the Fourth Proportional to 282.76, 390.39 and 183.21

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Solution

The fourth proportional to 282.76, 390.39 and 183.21 is: 252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.76 : 390.39 = 183.21 : x
  2. Step 2: Convert to fraction form
    282.76/390.39 = 183.21/x
  3. Step 3: Cross multiply
    282.76x = 390.39 × 183.21
  4. Step 4: Simplify right side
    282.76x = 71,523.35
  5. Step 5: Solve for x
    x = 71,523.35/282.76
  6. Step 6: Final answer
    x = 252.95

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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.