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Finding the Fourth Proportional to 324.71, 486.97 and 142.06

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Solution

The fourth proportional to 324.71, 486.97 and 142.06 is: 213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.71 : 486.97 = 142.06 : x
  2. Step 2: Convert to fraction form
    324.71/486.97 = 142.06/x
  3. Step 3: Cross multiply
    324.71x = 486.97 × 142.06
  4. Step 4: Simplify right side
    324.71x = 69,178.96
  5. Step 5: Solve for x
    x = 69,178.96/324.71
  6. Step 6: Final answer
    x = 213.05

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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.