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Finding the Fourth Proportional to 166.03, 228.94 and 116.81

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Solution

The fourth proportional to 166.03, 228.94 and 116.81 is: 161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.03 : 228.94 = 116.81 : x
  2. Step 2: Convert to fraction form
    166.03/228.94 = 116.81/x
  3. Step 3: Cross multiply
    166.03x = 228.94 × 116.81
  4. Step 4: Simplify right side
    166.03x = 26,742.48
  5. Step 5: Solve for x
    x = 26,742.48/166.03
  6. Step 6: Final answer
    x = 161.07

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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.