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Finding the Fourth Proportional to 166.84, 230.32 and 114.66

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Solution

The fourth proportional to 166.84, 230.32 and 114.66 is: 158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.84 : 230.32 = 114.66 : x
  2. Step 2: Convert to fraction form
    166.84/230.32 = 114.66/x
  3. Step 3: Cross multiply
    166.84x = 230.32 × 114.66
  4. Step 4: Simplify right side
    166.84x = 26,408.49
  5. Step 5: Solve for x
    x = 26,408.49/166.84
  6. Step 6: Final answer
    x = 158.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.