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Finding the Fourth Proportional to 178.28, 245.68 and 166

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Solution

The fourth proportional to 178.28, 245.68 and 166 is: 228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.28 : 245.68 = 166 : x
  2. Step 2: Convert to fraction form
    178.28/245.68 = 166/x
  3. Step 3: Cross multiply
    178.28x = 245.68 × 166
  4. Step 4: Simplify right side
    178.28x = 40,782.88
  5. Step 5: Solve for x
    x = 40,782.88/178.28
  6. Step 6: Final answer
    x = 228.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.