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Finding the Fourth Proportional to 292.53, 403.82 and 194.42

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Solution

The fourth proportional to 292.53, 403.82 and 194.42 is: 268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.53 : 403.82 = 194.42 : x
  2. Step 2: Convert to fraction form
    292.53/403.82 = 194.42/x
  3. Step 3: Cross multiply
    292.53x = 403.82 × 194.42
  4. Step 4: Simplify right side
    292.53x = 78,510.68
  5. Step 5: Solve for x
    x = 78,510.68/292.53
  6. Step 6: Final answer
    x = 268.39

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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.