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Finding the Fourth Proportional to 365.69, 548.19 and 146.26

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Solution

The fourth proportional to 365.69, 548.19 and 146.26 is: 219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.69 : 548.19 = 146.26 : x
  2. Step 2: Convert to fraction form
    365.69/548.19 = 146.26/x
  3. Step 3: Cross multiply
    365.69x = 548.19 × 146.26
  4. Step 4: Simplify right side
    365.69x = 80,176.28
  5. Step 5: Solve for x
    x = 80,176.28/365.69
  6. Step 6: Final answer
    x = 219.25

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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.