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Finding the Fourth Proportional to 282.82, 390.46 and 220.50

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Solution

The fourth proportional to 282.82, 390.46 and 220.50 is: 304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.82 : 390.46 = 220.50 : x
  2. Step 2: Convert to fraction form
    282.82/390.46 = 220.50/x
  3. Step 3: Cross multiply
    282.82x = 390.46 × 220.50
  4. Step 4: Simplify right side
    282.82x = 86,096.43
  5. Step 5: Solve for x
    x = 86,096.43/282.82
  6. Step 6: Final answer
    x = 304.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.