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Finding the Fourth Proportional to 231.62, 319.62 and 182.62

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Solution

The fourth proportional to 231.62, 319.62 and 182.62 is: 252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.62 : 319.62 = 182.62 : x
  2. Step 2: Convert to fraction form
    231.62/319.62 = 182.62/x
  3. Step 3: Cross multiply
    231.62x = 319.62 × 182.62
  4. Step 4: Simplify right side
    231.62x = 58,369.00
  5. Step 5: Solve for x
    x = 58,369.00/231.62
  6. Step 6: Final answer
    x = 252.00

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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.