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Finding the Fourth Proportional to 365.81, 504.81 and 218.45

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Solution

The fourth proportional to 365.81, 504.81 and 218.45 is: 301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.81 : 504.81 = 218.45 : x
  2. Step 2: Convert to fraction form
    365.81/504.81 = 218.45/x
  3. Step 3: Cross multiply
    365.81x = 504.81 × 218.45
  4. Step 4: Simplify right side
    365.81x = 110,273.22
  5. Step 5: Solve for x
    x = 110,273.22/365.81
  6. Step 6: Final answer
    x = 301.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.