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Finding the Fourth Proportional to 178.14, 266.64 and 113.22

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Solution

The fourth proportional to 178.14, 266.64 and 113.22 is: 169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.14 : 266.64 = 113.22 : x
  2. Step 2: Convert to fraction form
    178.14/266.64 = 113.22/x
  3. Step 3: Cross multiply
    178.14x = 266.64 × 113.22
  4. Step 4: Simplify right side
    178.14x = 30,188.98
  5. Step 5: Solve for x
    x = 30,188.98/178.14
  6. Step 6: Final answer
    x = 169.47

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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.