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Finding the Fourth Proportional to 455.42, 683.15 and 130.82

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Solution

The fourth proportional to 455.42, 683.15 and 130.82 is: 196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.42 : 683.15 = 130.82 : x
  2. Step 2: Convert to fraction form
    455.42/683.15 = 130.82/x
  3. Step 3: Cross multiply
    455.42x = 683.15 × 130.82
  4. Step 4: Simplify right side
    455.42x = 89,369.68
  5. Step 5: Solve for x
    x = 89,369.68/455.42
  6. Step 6: Final answer
    x = 196.24

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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.