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Finding the Fourth Proportional to 365.95, 505.10 and 218.67

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Solution

The fourth proportional to 365.95, 505.10 and 218.67 is: 301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.95 : 505.10 = 218.67 : x
  2. Step 2: Convert to fraction form
    365.95/505.10 = 218.67/x
  3. Step 3: Cross multiply
    365.95x = 505.10 × 218.67
  4. Step 4: Simplify right side
    365.95x = 110,449.12
  5. Step 5: Solve for x
    x = 110,449.12/365.95
  6. Step 6: Final answer
    x = 301.82

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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.