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Finding the Fourth Proportional to 301.42, 415.92 and 177.09

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Solution

The fourth proportional to 301.42, 415.92 and 177.09 is: 244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.42 : 415.92 = 177.09 : x
  2. Step 2: Convert to fraction form
    301.42/415.92 = 177.09/x
  3. Step 3: Cross multiply
    301.42x = 415.92 × 177.09
  4. Step 4: Simplify right side
    301.42x = 73,655.27
  5. Step 5: Solve for x
    x = 73,655.27/301.42
  6. Step 6: Final answer
    x = 244.36

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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.