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Finding the Fourth Proportional to 292.03, 403.02 and 193.61

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Solution

The fourth proportional to 292.03, 403.02 and 193.61 is: 267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.03 : 403.02 = 193.61 : x
  2. Step 2: Convert to fraction form
    292.03/403.02 = 193.61/x
  3. Step 3: Cross multiply
    292.03x = 403.02 × 193.61
  4. Step 4: Simplify right side
    292.03x = 78,029.71
  5. Step 5: Solve for x
    x = 78,029.71/292.03
  6. Step 6: Final answer
    x = 267.20

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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.