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Finding the Fourth Proportional to 166.06, 228.90 and 138.52

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Solution

The fourth proportional to 166.06, 228.90 and 138.52 is: 190.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.06 : 228.90 = 138.52 : x
  2. Step 2: Convert to fraction form
    166.06/228.90 = 138.52/x
  3. Step 3: Cross multiply
    166.06x = 228.90 × 138.52
  4. Step 4: Simplify right side
    166.06x = 31,707.23
  5. Step 5: Solve for x
    x = 31,707.23/166.06
  6. Step 6: Final answer
    x = 190.94

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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.