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Finding the Fourth Proportional to 301.86, 416.46 and 177.49

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Solution

The fourth proportional to 301.86, 416.46 and 177.49 is: 244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.86 : 416.46 = 177.49 : x
  2. Step 2: Convert to fraction form
    301.86/416.46 = 177.49/x
  3. Step 3: Cross multiply
    301.86x = 416.46 × 177.49
  4. Step 4: Simplify right side
    301.86x = 73,914.52
  5. Step 5: Solve for x
    x = 73,914.52/301.86
  6. Step 6: Final answer
    x = 244.87

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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.