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Finding the Fourth Proportional to 324.24, 485.94 and 141.60

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Solution

The fourth proportional to 324.24, 485.94 and 141.60 is: 212.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.24 : 485.94 = 141.60 : x
  2. Step 2: Convert to fraction form
    324.24/485.94 = 141.60/x
  3. Step 3: Cross multiply
    324.24x = 485.94 × 141.60
  4. Step 4: Simplify right side
    324.24x = 68,809.10
  5. Step 5: Solve for x
    x = 68,809.10/324.24
  6. Step 6: Final answer
    x = 212.22

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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.