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Finding the Fourth Proportional to 301.78, 416.41 and 177.41

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Solution

The fourth proportional to 301.78, 416.41 and 177.41 is: 244.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.78 : 416.41 = 177.41 : x
  2. Step 2: Convert to fraction form
    301.78/416.41 = 177.41/x
  3. Step 3: Cross multiply
    301.78x = 416.41 × 177.41
  4. Step 4: Simplify right side
    301.78x = 73,875.30
  5. Step 5: Solve for x
    x = 73,875.30/301.78
  6. Step 6: Final answer
    x = 244.80

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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.