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Finding the Fourth Proportional to 301.41, 415.92 and 175.35

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Solution

The fourth proportional to 301.41, 415.92 and 175.35 is: 241.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.41 : 415.92 = 175.35 : x
  2. Step 2: Convert to fraction form
    301.41/415.92 = 175.35/x
  3. Step 3: Cross multiply
    301.41x = 415.92 × 175.35
  4. Step 4: Simplify right side
    301.41x = 72,931.63
  5. Step 5: Solve for x
    x = 72,931.63/301.41
  6. Step 6: Final answer
    x = 241.97

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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.