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Finding the Fourth Proportional to 265.35, 365.80 and 218.65

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Solution

The fourth proportional to 265.35, 365.80 and 218.65 is: 301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.35 : 365.80 = 218.65 : x
  2. Step 2: Convert to fraction form
    265.35/365.80 = 218.65/x
  3. Step 3: Cross multiply
    265.35x = 365.80 × 218.65
  4. Step 4: Simplify right side
    265.35x = 79,979.25
  5. Step 5: Solve for x
    x = 79,979.25/265.35
  6. Step 6: Final answer
    x = 301.42

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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.