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Finding the Fourth Proportional to 178.54, 267.86 and 109.97

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Solution

The fourth proportional to 178.54, 267.86 and 109.97 is: 164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.54 : 267.86 = 109.97 : x
  2. Step 2: Convert to fraction form
    178.54/267.86 = 109.97/x
  3. Step 3: Cross multiply
    178.54x = 267.86 × 109.97
  4. Step 4: Simplify right side
    178.54x = 29,455.22
  5. Step 5: Solve for x
    x = 29,455.22/178.54
  6. Step 6: Final answer
    x = 164.98

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Why These Related Problems?

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