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Finding the Fourth Proportional to 182.10, 252.57 and 177.09

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Solution

The fourth proportional to 182.10, 252.57 and 177.09 is: 245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.10 : 252.57 = 177.09 : x
  2. Step 2: Convert to fraction form
    182.10/252.57 = 177.09/x
  3. Step 3: Cross multiply
    182.10x = 252.57 × 177.09
  4. Step 4: Simplify right side
    182.10x = 44,726.34
  5. Step 5: Solve for x
    x = 44,726.34/182.10
  6. Step 6: Final answer
    x = 245.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.