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Finding the Fourth Proportional to 301.01, 415.25 and 238.93

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Solution

The fourth proportional to 301.01, 415.25 and 238.93 is: 329.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.01 : 415.25 = 238.93 : x
  2. Step 2: Convert to fraction form
    301.01/415.25 = 238.93/x
  3. Step 3: Cross multiply
    301.01x = 415.25 × 238.93
  4. Step 4: Simplify right side
    301.01x = 99,215.24
  5. Step 5: Solve for x
    x = 99,215.24/301.01
  6. Step 6: Final answer
    x = 329.61

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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.