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Finding the Fourth Proportional to 282.94, 424.27 and 180.34

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Solution

The fourth proportional to 282.94, 424.27 and 180.34 is: 270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.94 : 424.27 = 180.34 : x
  2. Step 2: Convert to fraction form
    282.94/424.27 = 180.34/x
  3. Step 3: Cross multiply
    282.94x = 424.27 × 180.34
  4. Step 4: Simplify right side
    282.94x = 76,512.85
  5. Step 5: Solve for x
    x = 76,512.85/282.94
  6. Step 6: Final answer
    x = 270.42

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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.