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Finding the Fourth Proportional to 301.53, 416.12 and 177.33

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Solution

The fourth proportional to 301.53, 416.12 and 177.33 is: 244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.53 : 416.12 = 177.33 : x
  2. Step 2: Convert to fraction form
    301.53/416.12 = 177.33/x
  3. Step 3: Cross multiply
    301.53x = 416.12 × 177.33
  4. Step 4: Simplify right side
    301.53x = 73,789.67
  5. Step 5: Solve for x
    x = 73,789.67/301.53
  6. Step 6: Final answer
    x = 244.72

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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.