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Finding the Fourth Proportional to 176.26, 243.20 and 106.26

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Solution

The fourth proportional to 176.26, 243.20 and 106.26 is: 146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.26 : 243.20 = 106.26 : x
  2. Step 2: Convert to fraction form
    176.26/243.20 = 106.26/x
  3. Step 3: Cross multiply
    176.26x = 243.20 × 106.26
  4. Step 4: Simplify right side
    176.26x = 25,841.90
  5. Step 5: Solve for x
    x = 25,841.90/176.26
  6. Step 6: Final answer
    x = 146.61

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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.