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Finding the Fourth Proportional to 166.26, 229.01 and 140.00

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Solution

The fourth proportional to 166.26, 229.01 and 140.00 is: 192.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.26 : 229.01 = 140.00 : x
  2. Step 2: Convert to fraction form
    166.26/229.01 = 140.00/x
  3. Step 3: Cross multiply
    166.26x = 229.01 × 140.00
  4. Step 4: Simplify right side
    166.26x = 32,062.32
  5. Step 5: Solve for x
    x = 32,062.32/166.26
  6. Step 6: Final answer
    x = 192.84

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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.