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Finding the Fourth Proportional to 365.87, 548.78 and 119.07

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Solution

The fourth proportional to 365.87, 548.78 and 119.07 is: 178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.87 : 548.78 = 119.07 : x
  2. Step 2: Convert to fraction form
    365.87/548.78 = 119.07/x
  3. Step 3: Cross multiply
    365.87x = 548.78 × 119.07
  4. Step 4: Simplify right side
    365.87x = 65,343.23
  5. Step 5: Solve for x
    x = 65,343.23/365.87
  6. Step 6: Final answer
    x = 178.60

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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.