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Finding the Fourth Proportional to 455.77, 683.52 and 167.23

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Solution

The fourth proportional to 455.77, 683.52 and 167.23 is: 250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.77 : 683.52 = 167.23 : x
  2. Step 2: Convert to fraction form
    455.77/683.52 = 167.23/x
  3. Step 3: Cross multiply
    455.77x = 683.52 × 167.23
  4. Step 4: Simplify right side
    455.77x = 114,305.05
  5. Step 5: Solve for x
    x = 114,305.05/455.77
  6. Step 6: Final answer
    x = 250.80

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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.