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Finding the Fourth Proportional to 231.77, 319.64 and 200.67

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Solution

The fourth proportional to 231.77, 319.64 and 200.67 is: 276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.77 : 319.64 = 200.67 : x
  2. Step 2: Convert to fraction form
    231.77/319.64 = 200.67/x
  3. Step 3: Cross multiply
    231.77x = 319.64 × 200.67
  4. Step 4: Simplify right side
    231.77x = 64,141.16
  5. Step 5: Solve for x
    x = 64,141.16/231.77
  6. Step 6: Final answer
    x = 276.75

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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.