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Finding the Fourth Proportional to 193.59, 267.30 and 185.90

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Solution

The fourth proportional to 193.59, 267.30 and 185.90 is: 256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.59 : 267.30 = 185.90 : x
  2. Step 2: Convert to fraction form
    193.59/267.30 = 185.90/x
  3. Step 3: Cross multiply
    193.59x = 267.30 × 185.90
  4. Step 4: Simplify right side
    193.59x = 49,689.73
  5. Step 5: Solve for x
    x = 49,689.73/193.59
  6. Step 6: Final answer
    x = 256.68

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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.