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Finding the Fourth Proportional to 282.69, 423.70 and 120.33

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Solution

The fourth proportional to 282.69, 423.70 and 120.33 is: 180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.69 : 423.70 = 120.33 : x
  2. Step 2: Convert to fraction form
    282.69/423.70 = 120.33/x
  3. Step 3: Cross multiply
    282.69x = 423.70 × 120.33
  4. Step 4: Simplify right side
    282.69x = 50,983.82
  5. Step 5: Solve for x
    x = 50,983.82/282.69
  6. Step 6: Final answer
    x = 180.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.