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Finding the Fourth Proportional to 301.74, 452.31 and 180.06

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Solution

The fourth proportional to 301.74, 452.31 and 180.06 is: 269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.74 : 452.31 = 180.06 : x
  2. Step 2: Convert to fraction form
    301.74/452.31 = 180.06/x
  3. Step 3: Cross multiply
    301.74x = 452.31 × 180.06
  4. Step 4: Simplify right side
    301.74x = 81,442.94
  5. Step 5: Solve for x
    x = 81,442.94/301.74
  6. Step 6: Final answer
    x = 269.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.