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Finding the Fourth Proportional to 252.39, 378.54 and 122.47

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Solution

The fourth proportional to 252.39, 378.54 and 122.47 is: 183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.39 : 378.54 = 122.47 : x
  2. Step 2: Convert to fraction form
    252.39/378.54 = 122.47/x
  3. Step 3: Cross multiply
    252.39x = 378.54 × 122.47
  4. Step 4: Simplify right side
    252.39x = 46,359.79
  5. Step 5: Solve for x
    x = 46,359.79/252.39
  6. Step 6: Final answer
    x = 183.68

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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.