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Finding the Fourth Proportional to 324.02, 447.13 and 186.02

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Solution

The fourth proportional to 324.02, 447.13 and 186.02 is: 256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.02 : 447.13 = 186.02 : x
  2. Step 2: Convert to fraction form
    324.02/447.13 = 186.02/x
  3. Step 3: Cross multiply
    324.02x = 447.13 × 186.02
  4. Step 4: Simplify right side
    324.02x = 83,175.12
  5. Step 5: Solve for x
    x = 83,175.12/324.02
  6. Step 6: Final answer
    x = 256.70

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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.