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Finding the Fourth Proportional to 365.96, 505.06 and 218.60

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Solution

The fourth proportional to 365.96, 505.06 and 218.60 is: 301.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.96 : 505.06 = 218.60 : x
  2. Step 2: Convert to fraction form
    365.96/505.06 = 218.60/x
  3. Step 3: Cross multiply
    365.96x = 505.06 × 218.60
  4. Step 4: Simplify right side
    365.96x = 110,406.12
  5. Step 5: Solve for x
    x = 110,406.12/365.96
  6. Step 6: Final answer
    x = 301.69

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Why These Related Problems?

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