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Finding the Fourth Proportional to 252.55, 378.64 and 180.46

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Solution

The fourth proportional to 252.55, 378.64 and 180.46 is: 270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.55 : 378.64 = 180.46 : x
  2. Step 2: Convert to fraction form
    252.55/378.64 = 180.46/x
  3. Step 3: Cross multiply
    252.55x = 378.64 × 180.46
  4. Step 4: Simplify right side
    252.55x = 68,329.37
  5. Step 5: Solve for x
    x = 68,329.37/252.55
  6. Step 6: Final answer
    x = 270.56

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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.