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Finding the Fourth Proportional to 365.66, 548.57 and 149.26

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Solution

The fourth proportional to 365.66, 548.57 and 149.26 is: 223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.66 : 548.57 = 149.26 : x
  2. Step 2: Convert to fraction form
    365.66/548.57 = 149.26/x
  3. Step 3: Cross multiply
    365.66x = 548.57 × 149.26
  4. Step 4: Simplify right side
    365.66x = 81,876.07
  5. Step 5: Solve for x
    x = 81,876.07/365.66
  6. Step 6: Final answer
    x = 223.91

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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.