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Finding the Fourth Proportional to 305.68, 421.84 and 218.24

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Solution

The fourth proportional to 305.68, 421.84 and 218.24 is: 301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.68 : 421.84 = 218.24 : x
  2. Step 2: Convert to fraction form
    305.68/421.84 = 218.24/x
  3. Step 3: Cross multiply
    305.68x = 421.84 × 218.24
  4. Step 4: Simplify right side
    305.68x = 92,062.36
  5. Step 5: Solve for x
    x = 92,062.36/305.68
  6. Step 6: Final answer
    x = 301.17

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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.