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Finding the Fourth Proportional to 365.87, 504.90 and 218.50

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Solution

The fourth proportional to 365.87, 504.90 and 218.50 is: 301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.87 : 504.90 = 218.50 : x
  2. Step 2: Convert to fraction form
    365.87/504.90 = 218.50/x
  3. Step 3: Cross multiply
    365.87x = 504.90 × 218.50
  4. Step 4: Simplify right side
    365.87x = 110,319.39
  5. Step 5: Solve for x
    x = 110,319.39/365.87
  6. Step 6: Final answer
    x = 301.52

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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.