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Finding the Fourth Proportional to 324.78, 448.18 and 184.89

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Solution

The fourth proportional to 324.78, 448.18 and 184.89 is: 255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.78 : 448.18 = 184.89 : x
  2. Step 2: Convert to fraction form
    324.78/448.18 = 184.89/x
  3. Step 3: Cross multiply
    324.78x = 448.18 × 184.89
  4. Step 4: Simplify right side
    324.78x = 82,864.00
  5. Step 5: Solve for x
    x = 82,864.00/324.78
  6. Step 6: Final answer
    x = 255.14

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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.