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Finding the Fourth Proportional to 365.65, 504.39 and 218.14

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Solution

The fourth proportional to 365.65, 504.39 and 218.14 is: 300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.65 : 504.39 = 218.14 : x
  2. Step 2: Convert to fraction form
    365.65/504.39 = 218.14/x
  3. Step 3: Cross multiply
    365.65x = 504.39 × 218.14
  4. Step 4: Simplify right side
    365.65x = 110,027.63
  5. Step 5: Solve for x
    x = 110,027.63/365.65
  6. Step 6: Final answer
    x = 300.91

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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.