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Finding the Fourth Proportional to 282.41, 389.53 and 199.59

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Solution

The fourth proportional to 282.41, 389.53 and 199.59 is: 275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.41 : 389.53 = 199.59 : x
  2. Step 2: Convert to fraction form
    282.41/389.53 = 199.59/x
  3. Step 3: Cross multiply
    282.41x = 389.53 × 199.59
  4. Step 4: Simplify right side
    282.41x = 77,746.29
  5. Step 5: Solve for x
    x = 77,746.29/282.41
  6. Step 6: Final answer
    x = 275.30

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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.