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Finding the Fourth Proportional to 178.41, 267.57 and 97.41

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Solution

The fourth proportional to 178.41, 267.57 and 97.41 is: 146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.41 : 267.57 = 97.41 : x
  2. Step 2: Convert to fraction form
    178.41/267.57 = 97.41/x
  3. Step 3: Cross multiply
    178.41x = 267.57 × 97.41
  4. Step 4: Simplify right side
    178.41x = 26,063.99
  5. Step 5: Solve for x
    x = 26,063.99/178.41
  6. Step 6: Final answer
    x = 146.09

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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.