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Finding the Fourth Proportional to 282.60, 423.12 and 195.69

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Solution

The fourth proportional to 282.60, 423.12 and 195.69 is: 292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.60 : 423.12 = 195.69 : x
  2. Step 2: Convert to fraction form
    282.60/423.12 = 195.69/x
  3. Step 3: Cross multiply
    282.60x = 423.12 × 195.69
  4. Step 4: Simplify right side
    282.60x = 82,800.35
  5. Step 5: Solve for x
    x = 82,800.35/282.60
  6. Step 6: Final answer
    x = 292.99

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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.