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Finding the Fourth Proportional to 301.30, 415.77 and 176.96

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Solution

The fourth proportional to 301.30, 415.77 and 176.96 is: 244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.30 : 415.77 = 176.96 : x
  2. Step 2: Convert to fraction form
    301.30/415.77 = 176.96/x
  3. Step 3: Cross multiply
    301.30x = 415.77 × 176.96
  4. Step 4: Simplify right side
    301.30x = 73,575.04
  5. Step 5: Solve for x
    x = 73,575.04/301.30
  6. Step 6: Final answer
    x = 244.19

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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.