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Finding the Fourth Proportional to 166.52, 229.70 and 110.51

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Solution

The fourth proportional to 166.52, 229.70 and 110.51 is: 152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.52 : 229.70 = 110.51 : x
  2. Step 2: Convert to fraction form
    166.52/229.70 = 110.51/x
  3. Step 3: Cross multiply
    166.52x = 229.70 × 110.51
  4. Step 4: Simplify right side
    166.52x = 25,382.67
  5. Step 5: Solve for x
    x = 25,382.67/166.52
  6. Step 6: Final answer
    x = 152.43

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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.