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Finding the Fourth Proportional to 166.50, 229.46 and 153.45

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Solution

The fourth proportional to 166.50, 229.46 and 153.45 is: 211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.50 : 229.46 = 153.45 : x
  2. Step 2: Convert to fraction form
    166.50/229.46 = 153.45/x
  3. Step 3: Cross multiply
    166.50x = 229.46 × 153.45
  4. Step 4: Simplify right side
    166.50x = 35,209.87
  5. Step 5: Solve for x
    x = 35,209.87/166.50
  6. Step 6: Final answer
    x = 211.47

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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.