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Finding the Fourth Proportional to 231.75, 319.53 and 182.07

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Solution

The fourth proportional to 231.75, 319.53 and 182.07 is: 251.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.75 : 319.53 = 182.07 : x
  2. Step 2: Convert to fraction form
    231.75/319.53 = 182.07/x
  3. Step 3: Cross multiply
    231.75x = 319.53 × 182.07
  4. Step 4: Simplify right side
    231.75x = 58,176.83
  5. Step 5: Solve for x
    x = 58,176.83/231.75
  6. Step 6: Final answer
    x = 251.03

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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.