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Finding the Fourth Proportional to 324, 447.14 and 186

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Solution

The fourth proportional to 324, 447.14 and 186 is: 256.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    324 : 447.14 = 186 : x
  2. Step 2: Convert to fraction form
    324/447.14 = 186/x
  3. Step 3: Cross multiply
    324x = 447.14 × 186
  4. Step 4: Simplify right side
    324x = 83,168.04
  5. Step 5: Solve for x
    x = 83,168.04/324
  6. Step 6: Final answer
    x = 256.69

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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.