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Finding the Fourth Proportional to 301.06, 414.66 and 213.58

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Solution

The fourth proportional to 301.06, 414.66 and 213.58 is: 294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.06 : 414.66 = 213.58 : x
  2. Step 2: Convert to fraction form
    301.06/414.66 = 213.58/x
  3. Step 3: Cross multiply
    301.06x = 414.66 × 213.58
  4. Step 4: Simplify right side
    301.06x = 88,563.08
  5. Step 5: Solve for x
    x = 88,563.08/301.06
  6. Step 6: Final answer
    x = 294.17

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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.