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Finding the Fourth Proportional to 166.24, 228.20 and 143.20

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Solution

The fourth proportional to 166.24, 228.20 and 143.20 is: 196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.24 : 228.20 = 143.20 : x
  2. Step 2: Convert to fraction form
    166.24/228.20 = 143.20/x
  3. Step 3: Cross multiply
    166.24x = 228.20 × 143.20
  4. Step 4: Simplify right side
    166.24x = 32,678.24
  5. Step 5: Solve for x
    x = 32,678.24/166.24
  6. Step 6: Final answer
    x = 196.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.