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Finding the Fourth Proportional to 324.04, 447.14 and 186.04

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Solution

The fourth proportional to 324.04, 447.14 and 186.04 is: 256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.04 : 447.14 = 186.04 : x
  2. Step 2: Convert to fraction form
    324.04/447.14 = 186.04/x
  3. Step 3: Cross multiply
    324.04x = 447.14 × 186.04
  4. Step 4: Simplify right side
    324.04x = 83,185.93
  5. Step 5: Solve for x
    x = 83,185.93/324.04
  6. Step 6: Final answer
    x = 256.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.