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Finding the Fourth Proportional to 231.75, 319.14 and 208.40

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Solution

The fourth proportional to 231.75, 319.14 and 208.40 is: 286.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.75 : 319.14 = 208.40 : x
  2. Step 2: Convert to fraction form
    231.75/319.14 = 208.40/x
  3. Step 3: Cross multiply
    231.75x = 319.14 × 208.40
  4. Step 4: Simplify right side
    231.75x = 66,507.18
  5. Step 5: Solve for x
    x = 66,507.18/231.75
  6. Step 6: Final answer
    x = 286.98

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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.