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Finding the Fourth Proportional to 231.49, 319.95 and 205.08

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Solution

The fourth proportional to 231.49, 319.95 and 205.08 is: 283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.49 : 319.95 = 205.08 : x
  2. Step 2: Convert to fraction form
    231.49/319.95 = 205.08/x
  3. Step 3: Cross multiply
    231.49x = 319.95 × 205.08
  4. Step 4: Simplify right side
    231.49x = 65,615.35
  5. Step 5: Solve for x
    x = 65,615.35/231.49
  6. Step 6: Final answer
    x = 283.45

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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.