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Finding the Fourth Proportional to 456, 683.88 and 163.65

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Solution

The fourth proportional to 456, 683.88 and 163.65 is: 245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    456 : 683.88 = 163.65 : x
  2. Step 2: Convert to fraction form
    456/683.88 = 163.65/x
  3. Step 3: Cross multiply
    456x = 683.88 × 163.65
  4. Step 4: Simplify right side
    456x = 111,916.96
  5. Step 5: Solve for x
    x = 111,916.96/456
  6. Step 6: Final answer
    x = 245.43

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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.