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Finding the Fourth Proportional to 253.49, 349.29 and 194.47

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Solution

The fourth proportional to 253.49, 349.29 and 194.47 is: 267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.49 : 349.29 = 194.47 : x
  2. Step 2: Convert to fraction form
    253.49/349.29 = 194.47/x
  3. Step 3: Cross multiply
    253.49x = 349.29 × 194.47
  4. Step 4: Simplify right side
    253.49x = 67,926.97
  5. Step 5: Solve for x
    x = 67,926.97/253.49
  6. Step 6: Final answer
    x = 267.97

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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.