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Finding the Fourth Proportional to 282.41, 423.50 and 120

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Solution

The fourth proportional to 282.41, 423.50 and 120 is: 179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.41 : 423.50 = 120 : x
  2. Step 2: Convert to fraction form
    282.41/423.50 = 120/x
  3. Step 3: Cross multiply
    282.41x = 423.50 × 120
  4. Step 4: Simplify right side
    282.41x = 50,819.40
  5. Step 5: Solve for x
    x = 50,819.40/282.41
  6. Step 6: Final answer
    x = 179.95

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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.