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Finding the Fourth Proportional to 365.91, 548.93 and 149.51

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Solution

The fourth proportional to 365.91, 548.93 and 149.51 is: 224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.91 : 548.93 = 149.51 : x
  2. Step 2: Convert to fraction form
    365.91/548.93 = 149.51/x
  3. Step 3: Cross multiply
    365.91x = 548.93 × 149.51
  4. Step 4: Simplify right side
    365.91x = 82,067.03
  5. Step 5: Solve for x
    x = 82,067.03/365.91
  6. Step 6: Final answer
    x = 224.28

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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.