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Finding the Fourth Proportional to 365.68, 548.40 and 229.60

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Solution

The fourth proportional to 365.68, 548.40 and 229.60 is: 344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.68 : 548.40 = 229.60 : x
  2. Step 2: Convert to fraction form
    365.68/548.40 = 229.60/x
  3. Step 3: Cross multiply
    365.68x = 548.40 × 229.60
  4. Step 4: Simplify right side
    365.68x = 125,912.64
  5. Step 5: Solve for x
    x = 125,912.64/365.68
  6. Step 6: Final answer
    x = 344.32

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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.