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Finding the Fourth Proportional to 282.41, 389.50 and 220.04

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Solution

The fourth proportional to 282.41, 389.50 and 220.04 is: 303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.41 : 389.50 = 220.04 : x
  2. Step 2: Convert to fraction form
    282.41/389.50 = 220.04/x
  3. Step 3: Cross multiply
    282.41x = 389.50 × 220.04
  4. Step 4: Simplify right side
    282.41x = 85,703.08
  5. Step 5: Solve for x
    x = 85,703.08/282.41
  6. Step 6: Final answer
    x = 303.48

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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.