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Finding the Fourth Proportional to 166.16, 229.49 and 111.14

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Solution

The fourth proportional to 166.16, 229.49 and 111.14 is: 153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.16 : 229.49 = 111.14 : x
  2. Step 2: Convert to fraction form
    166.16/229.49 = 111.14/x
  3. Step 3: Cross multiply
    166.16x = 229.49 × 111.14
  4. Step 4: Simplify right side
    166.16x = 25,503.82
  5. Step 5: Solve for x
    x = 25,503.82/166.16
  6. Step 6: Final answer
    x = 153.49

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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.