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Finding the Fourth Proportional to 231.76, 319.83 and 182.02

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Solution

The fourth proportional to 231.76, 319.83 and 182.02 is: 251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.76 : 319.83 = 182.02 : x
  2. Step 2: Convert to fraction form
    231.76/319.83 = 182.02/x
  3. Step 3: Cross multiply
    231.76x = 319.83 × 182.02
  4. Step 4: Simplify right side
    231.76x = 58,215.46
  5. Step 5: Solve for x
    x = 58,215.46/231.76
  6. Step 6: Final answer
    x = 251.19

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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.