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Finding the Fourth Proportional to 324.64, 486.78 and 162.22

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Solution

The fourth proportional to 324.64, 486.78 and 162.22 is: 243.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.64 : 486.78 = 162.22 : x
  2. Step 2: Convert to fraction form
    324.64/486.78 = 162.22/x
  3. Step 3: Cross multiply
    324.64x = 486.78 × 162.22
  4. Step 4: Simplify right side
    324.64x = 78,965.45
  5. Step 5: Solve for x
    x = 78,965.45/324.64
  6. Step 6: Final answer
    x = 243.24

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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.