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Finding the Fourth Proportional to 178.40, 267.69 and 75.74

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Solution

The fourth proportional to 178.40, 267.69 and 75.74 is: 113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.40 : 267.69 = 75.74 : x
  2. Step 2: Convert to fraction form
    178.40/267.69 = 75.74/x
  3. Step 3: Cross multiply
    178.40x = 267.69 × 75.74
  4. Step 4: Simplify right side
    178.40x = 20,273.50
  5. Step 5: Solve for x
    x = 20,273.50/178.40
  6. Step 6: Final answer
    x = 113.64

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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.