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Finding the Fourth Proportional to 450.83, 676.37 and 142.67

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Solution

The fourth proportional to 450.83, 676.37 and 142.67 is: 214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.83 : 676.37 = 142.67 : x
  2. Step 2: Convert to fraction form
    450.83/676.37 = 142.67/x
  3. Step 3: Cross multiply
    450.83x = 676.37 × 142.67
  4. Step 4: Simplify right side
    450.83x = 96,497.71
  5. Step 5: Solve for x
    x = 96,497.71/450.83
  6. Step 6: Final answer
    x = 214.04

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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.