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Finding the Fourth Proportional to 324.96, 486.72 and 162.28

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Solution

The fourth proportional to 324.96, 486.72 and 162.28 is: 243.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.96 : 486.72 = 162.28 : x
  2. Step 2: Convert to fraction form
    324.96/486.72 = 162.28/x
  3. Step 3: Cross multiply
    324.96x = 486.72 × 162.28
  4. Step 4: Simplify right side
    324.96x = 78,984.92
  5. Step 5: Solve for x
    x = 78,984.92/324.96
  6. Step 6: Final answer
    x = 243.06

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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.