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Finding the Fourth Proportional to 365.09, 547.64 and 159.55

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Solution

The fourth proportional to 365.09, 547.64 and 159.55 is: 239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.09 : 547.64 = 159.55 : x
  2. Step 2: Convert to fraction form
    365.09/547.64 = 159.55/x
  3. Step 3: Cross multiply
    365.09x = 547.64 × 159.55
  4. Step 4: Simplify right side
    365.09x = 87,374.39
  5. Step 5: Solve for x
    x = 87,374.39/365.09
  6. Step 6: Final answer
    x = 239.33

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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.