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Finding the Fourth Proportional to 282.19, 389.41 and 164.17

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Solution

The fourth proportional to 282.19, 389.41 and 164.17 is: 226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.19 : 389.41 = 164.17 : x
  2. Step 2: Convert to fraction form
    282.19/389.41 = 164.17/x
  3. Step 3: Cross multiply
    282.19x = 389.41 × 164.17
  4. Step 4: Simplify right side
    282.19x = 63,926.67
  5. Step 5: Solve for x
    x = 63,926.67/282.19
  6. Step 6: Final answer
    x = 226.54

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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.