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Finding the Fourth Proportional to 252.54, 378.66 and 142.80

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Solution

The fourth proportional to 252.54, 378.66 and 142.80 is: 214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.54 : 378.66 = 142.80 : x
  2. Step 2: Convert to fraction form
    252.54/378.66 = 142.80/x
  3. Step 3: Cross multiply
    252.54x = 378.66 × 142.80
  4. Step 4: Simplify right side
    252.54x = 54,072.65
  5. Step 5: Solve for x
    x = 54,072.65/252.54
  6. Step 6: Final answer
    x = 214.12

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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.