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Finding the Fourth Proportional to 301.45, 416.00 and 177.11

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Solution

The fourth proportional to 301.45, 416.00 and 177.11 is: 244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.45 : 416.00 = 177.11 : x
  2. Step 2: Convert to fraction form
    301.45/416.00 = 177.11/x
  3. Step 3: Cross multiply
    301.45x = 416.00 × 177.11
  4. Step 4: Simplify right side
    301.45x = 73,676.87
  5. Step 5: Solve for x
    x = 73,676.87/301.45
  6. Step 6: Final answer
    x = 244.41

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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.