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Finding the Fourth Proportional to 456.14, 683.62 and 195.83

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Solution

The fourth proportional to 456.14, 683.62 and 195.83 is: 293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.14 : 683.62 = 195.83 : x
  2. Step 2: Convert to fraction form
    456.14/683.62 = 195.83/x
  3. Step 3: Cross multiply
    456.14x = 683.62 × 195.83
  4. Step 4: Simplify right side
    456.14x = 133,871.14
  5. Step 5: Solve for x
    x = 133,871.14/456.14
  6. Step 6: Final answer
    x = 293.49

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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.