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Finding the Fourth Proportional to 455.84, 683.64 and 131.24

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Solution

The fourth proportional to 455.84, 683.64 and 131.24 is: 196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.84 : 683.64 = 131.24 : x
  2. Step 2: Convert to fraction form
    455.84/683.64 = 131.24/x
  3. Step 3: Cross multiply
    455.84x = 683.64 × 131.24
  4. Step 4: Simplify right side
    455.84x = 89,720.91
  5. Step 5: Solve for x
    x = 89,720.91/455.84
  6. Step 6: Final answer
    x = 196.83

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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.