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Finding the Fourth Proportional to 178.43, 267.70 and 109.10

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Solution

The fourth proportional to 178.43, 267.70 and 109.10 is: 163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.43 : 267.70 = 109.10 : x
  2. Step 2: Convert to fraction form
    178.43/267.70 = 109.10/x
  3. Step 3: Cross multiply
    178.43x = 267.70 × 109.10
  4. Step 4: Simplify right side
    178.43x = 29,206.07
  5. Step 5: Solve for x
    x = 29,206.07/178.43
  6. Step 6: Final answer
    x = 163.68

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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.