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Finding the Fourth Proportional to 450.69, 676.04 and 162.13

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Solution

The fourth proportional to 450.69, 676.04 and 162.13 is: 243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.69 : 676.04 = 162.13 : x
  2. Step 2: Convert to fraction form
    450.69/676.04 = 162.13/x
  3. Step 3: Cross multiply
    450.69x = 676.04 × 162.13
  4. Step 4: Simplify right side
    450.69x = 109,606.37
  5. Step 5: Solve for x
    x = 109,606.37/450.69
  6. Step 6: Final answer
    x = 243.20

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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.