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Finding the Fourth Proportional to 301.14, 415.49 and 176.79

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Solution

The fourth proportional to 301.14, 415.49 and 176.79 is: 243.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.14 : 415.49 = 176.79 : x
  2. Step 2: Convert to fraction form
    301.14/415.49 = 176.79/x
  3. Step 3: Cross multiply
    301.14x = 415.49 × 176.79
  4. Step 4: Simplify right side
    301.14x = 73,453.59
  5. Step 5: Solve for x
    x = 73,453.59/301.14
  6. Step 6: Final answer
    x = 243.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.