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Finding the Fourth Proportional to 238.12, 328.77 and 182.76

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Solution

The fourth proportional to 238.12, 328.77 and 182.76 is: 252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.12 : 328.77 = 182.76 : x
  2. Step 2: Convert to fraction form
    238.12/328.77 = 182.76/x
  3. Step 3: Cross multiply
    238.12x = 328.77 × 182.76
  4. Step 4: Simplify right side
    238.12x = 60,085.09
  5. Step 5: Solve for x
    x = 60,085.09/238.12
  6. Step 6: Final answer
    x = 252.33

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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.