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Finding the Fourth Proportional to 324.39, 486.42 and 141.84

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Solution

The fourth proportional to 324.39, 486.42 and 141.84 is: 212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.39 : 486.42 = 141.84 : x
  2. Step 2: Convert to fraction form
    324.39/486.42 = 141.84/x
  3. Step 3: Cross multiply
    324.39x = 486.42 × 141.84
  4. Step 4: Simplify right side
    324.39x = 68,993.81
  5. Step 5: Solve for x
    x = 68,993.81/324.39
  6. Step 6: Final answer
    x = 212.69

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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.