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Finding the Fourth Proportional to 450.86, 676.41 and 142.75

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Solution

The fourth proportional to 450.86, 676.41 and 142.75 is: 214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.86 : 676.41 = 142.75 : x
  2. Step 2: Convert to fraction form
    450.86/676.41 = 142.75/x
  3. Step 3: Cross multiply
    450.86x = 676.41 × 142.75
  4. Step 4: Simplify right side
    450.86x = 96,557.84
  5. Step 5: Solve for x
    x = 96,557.84/450.86
  6. Step 6: Final answer
    x = 214.17

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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.