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Finding the Fourth Proportional to 178.69, 267.73 and 140.42

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Solution

The fourth proportional to 178.69, 267.73 and 140.42 is: 210.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.69 : 267.73 = 140.42 : x
  2. Step 2: Convert to fraction form
    178.69/267.73 = 140.42/x
  3. Step 3: Cross multiply
    178.69x = 267.73 × 140.42
  4. Step 4: Simplify right side
    178.69x = 37,594.65
  5. Step 5: Solve for x
    x = 37,594.65/178.69
  6. Step 6: Final answer
    x = 210.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.