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Finding the Fourth Proportional to 455.40, 683.14 and 181.43

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Solution

The fourth proportional to 455.40, 683.14 and 181.43 is: 272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.40 : 683.14 = 181.43 : x
  2. Step 2: Convert to fraction form
    455.40/683.14 = 181.43/x
  3. Step 3: Cross multiply
    455.40x = 683.14 × 181.43
  4. Step 4: Simplify right side
    455.40x = 123,939.13
  5. Step 5: Solve for x
    x = 123,939.13/455.40
  6. Step 6: Final answer
    x = 272.15

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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.