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Finding the Fourth Proportional to 324.07, 486.10 and 141.46

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Solution

The fourth proportional to 324.07, 486.10 and 141.46 is: 212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.07 : 486.10 = 141.46 : x
  2. Step 2: Convert to fraction form
    324.07/486.10 = 141.46/x
  3. Step 3: Cross multiply
    324.07x = 486.10 × 141.46
  4. Step 4: Simplify right side
    324.07x = 68,762.14
  5. Step 5: Solve for x
    x = 68,762.14/324.07
  6. Step 6: Final answer
    x = 212.18

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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.