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Finding the Fourth Proportional to 456.10, 683.62 and 195.94

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Solution

The fourth proportional to 456.10, 683.62 and 195.94 is: 293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.10 : 683.62 = 195.94 : x
  2. Step 2: Convert to fraction form
    456.10/683.62 = 195.94/x
  3. Step 3: Cross multiply
    456.10x = 683.62 × 195.94
  4. Step 4: Simplify right side
    456.10x = 133,948.87
  5. Step 5: Solve for x
    x = 133,948.87/456.10
  6. Step 6: Final answer
    x = 293.68

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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.