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Finding the Fourth Proportional to 365.19, 548.09 and 146.03

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Solution

The fourth proportional to 365.19, 548.09 and 146.03 is: 219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.19 : 548.09 = 146.03 : x
  2. Step 2: Convert to fraction form
    365.19/548.09 = 146.03/x
  3. Step 3: Cross multiply
    365.19x = 548.09 × 146.03
  4. Step 4: Simplify right side
    365.19x = 80,034.11
  5. Step 5: Solve for x
    x = 80,034.11/365.19
  6. Step 6: Final answer
    x = 219.16

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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.