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Finding the Fourth Proportional to 282.45, 423.81 and 120.09

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Solution

The fourth proportional to 282.45, 423.81 and 120.09 is: 180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.45 : 423.81 = 120.09 : x
  2. Step 2: Convert to fraction form
    282.45/423.81 = 120.09/x
  3. Step 3: Cross multiply
    282.45x = 423.81 × 120.09
  4. Step 4: Simplify right side
    282.45x = 50,895.34
  5. Step 5: Solve for x
    x = 50,895.34/282.45
  6. Step 6: Final answer
    x = 180.19

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Why These Related Problems?

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