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Finding the Fourth Proportional to 292.21, 402.81 and 193.80

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Solution

The fourth proportional to 292.21, 402.81 and 193.80 is: 267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.21 : 402.81 = 193.80 : x
  2. Step 2: Convert to fraction form
    292.21/402.81 = 193.80/x
  3. Step 3: Cross multiply
    292.21x = 402.81 × 193.80
  4. Step 4: Simplify right side
    292.21x = 78,064.58
  5. Step 5: Solve for x
    x = 78,064.58/292.21
  6. Step 6: Final answer
    x = 267.15

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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.