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Finding the Fourth Proportional to 193.53, 267.09 and 135.21

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Solution

The fourth proportional to 193.53, 267.09 and 135.21 is: 186.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.53 : 267.09 = 135.21 : x
  2. Step 2: Convert to fraction form
    193.53/267.09 = 135.21/x
  3. Step 3: Cross multiply
    193.53x = 267.09 × 135.21
  4. Step 4: Simplify right side
    193.53x = 36,113.24
  5. Step 5: Solve for x
    x = 36,113.24/193.53
  6. Step 6: Final answer
    x = 186.60

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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.