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Finding the Fourth Proportional to 166.10, 228.66 and 144.24

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Solution

The fourth proportional to 166.10, 228.66 and 144.24 is: 198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.10 : 228.66 = 144.24 : x
  2. Step 2: Convert to fraction form
    166.10/228.66 = 144.24/x
  3. Step 3: Cross multiply
    166.10x = 228.66 × 144.24
  4. Step 4: Simplify right side
    166.10x = 32,981.92
  5. Step 5: Solve for x
    x = 32,981.92/166.10
  6. Step 6: Final answer
    x = 198.57

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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.