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Finding the Fourth Proportional to 301.21, 415.65 and 170.20

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Solution

The fourth proportional to 301.21, 415.65 and 170.20 is: 234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.21 : 415.65 = 170.20 : x
  2. Step 2: Convert to fraction form
    301.21/415.65 = 170.20/x
  3. Step 3: Cross multiply
    301.21x = 415.65 × 170.20
  4. Step 4: Simplify right side
    301.21x = 70,743.63
  5. Step 5: Solve for x
    x = 70,743.63/301.21
  6. Step 6: Final answer
    x = 234.86

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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.