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Finding the Fourth Proportional to 292.08, 402.76 and 193.68

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Solution

The fourth proportional to 292.08, 402.76 and 193.68 is: 267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.08 : 402.76 = 193.68 : x
  2. Step 2: Convert to fraction form
    292.08/402.76 = 193.68/x
  3. Step 3: Cross multiply
    292.08x = 402.76 × 193.68
  4. Step 4: Simplify right side
    292.08x = 78,006.56
  5. Step 5: Solve for x
    x = 78,006.56/292.08
  6. Step 6: Final answer
    x = 267.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.