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Finding the Fourth Proportional to 301.88, 416.53 and 177.54

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Solution

The fourth proportional to 301.88, 416.53 and 177.54 is: 244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.88 : 416.53 = 177.54 : x
  2. Step 2: Convert to fraction form
    301.88/416.53 = 177.54/x
  3. Step 3: Cross multiply
    301.88x = 416.53 × 177.54
  4. Step 4: Simplify right side
    301.88x = 73,950.74
  5. Step 5: Solve for x
    x = 73,950.74/301.88
  6. Step 6: Final answer
    x = 244.97

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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.