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Finding the Fourth Proportional to 365.44, 548.10 and 148.96

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Solution

The fourth proportional to 365.44, 548.10 and 148.96 is: 223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.44 : 548.10 = 148.96 : x
  2. Step 2: Convert to fraction form
    365.44/548.10 = 148.96/x
  3. Step 3: Cross multiply
    365.44x = 548.10 × 148.96
  4. Step 4: Simplify right side
    365.44x = 81,644.98
  5. Step 5: Solve for x
    x = 81,644.98/365.44
  6. Step 6: Final answer
    x = 223.42

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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.