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Finding the Fourth Proportional to 450.48, 675.81 and 142.37

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Solution

The fourth proportional to 450.48, 675.81 and 142.37 is: 213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.48 : 675.81 = 142.37 : x
  2. Step 2: Convert to fraction form
    450.48/675.81 = 142.37/x
  3. Step 3: Cross multiply
    450.48x = 675.81 × 142.37
  4. Step 4: Simplify right side
    450.48x = 96,212.32
  5. Step 5: Solve for x
    x = 96,212.32/450.48
  6. Step 6: Final answer
    x = 213.58

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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.