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Finding the Fourth Proportional to 166.15, 228.88 and 138.51

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Solution

The fourth proportional to 166.15, 228.88 and 138.51 is: 190.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.15 : 228.88 = 138.51 : x
  2. Step 2: Convert to fraction form
    166.15/228.88 = 138.51/x
  3. Step 3: Cross multiply
    166.15x = 228.88 × 138.51
  4. Step 4: Simplify right side
    166.15x = 31,701.56
  5. Step 5: Solve for x
    x = 31,701.56/166.15
  6. Step 6: Final answer
    x = 190.80

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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.