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Finding the Fourth Proportional to 365.63, 548.44 and 105.64

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Solution

The fourth proportional to 365.63, 548.44 and 105.64 is: 158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.63 : 548.44 = 105.64 : x
  2. Step 2: Convert to fraction form
    365.63/548.44 = 105.64/x
  3. Step 3: Cross multiply
    365.63x = 548.44 × 105.64
  4. Step 4: Simplify right side
    365.63x = 57,935.57
  5. Step 5: Solve for x
    x = 57,935.57/365.63
  6. Step 6: Final answer
    x = 158.45

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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.