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Finding the Fourth Proportional to 252.61, 348.63 and 182.89

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Solution

The fourth proportional to 252.61, 348.63 and 182.89 is: 252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.61 : 348.63 = 182.89 : x
  2. Step 2: Convert to fraction form
    252.61/348.63 = 182.89/x
  3. Step 3: Cross multiply
    252.61x = 348.63 × 182.89
  4. Step 4: Simplify right side
    252.61x = 63,760.94
  5. Step 5: Solve for x
    x = 63,760.94/252.61
  6. Step 6: Final answer
    x = 252.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.