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Finding the Fourth Proportional to 301.14, 415.63 and 176.83

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Solution

The fourth proportional to 301.14, 415.63 and 176.83 is: 244.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.14 : 415.63 = 176.83 : x
  2. Step 2: Convert to fraction form
    301.14/415.63 = 176.83/x
  3. Step 3: Cross multiply
    301.14x = 415.63 × 176.83
  4. Step 4: Simplify right side
    301.14x = 73,495.85
  5. Step 5: Solve for x
    x = 73,495.85/301.14
  6. Step 6: Final answer
    x = 244.06

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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.