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Finding the Fourth Proportional to 324.77, 486.86 and 142.25

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Solution

The fourth proportional to 324.77, 486.86 and 142.25 is: 213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.77 : 486.86 = 142.25 : x
  2. Step 2: Convert to fraction form
    324.77/486.86 = 142.25/x
  3. Step 3: Cross multiply
    324.77x = 486.86 × 142.25
  4. Step 4: Simplify right side
    324.77x = 69,252.69
  5. Step 5: Solve for x
    x = 69,252.69/324.77
  6. Step 6: Final answer
    x = 213.24

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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.