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Finding the Fourth Proportional to 301.93, 416.49 and 177.57

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Solution

The fourth proportional to 301.93, 416.49 and 177.57 is: 244.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.93 : 416.49 = 177.57 : x
  2. Step 2: Convert to fraction form
    301.93/416.49 = 177.57/x
  3. Step 3: Cross multiply
    301.93x = 416.49 × 177.57
  4. Step 4: Simplify right side
    301.93x = 73,956.80
  5. Step 5: Solve for x
    x = 73,956.80/301.93
  6. Step 6: Final answer
    x = 244.94

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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.