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Finding the Fourth Proportional to 176.41, 243.38 and 106.49

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Solution

The fourth proportional to 176.41, 243.38 and 106.49 is: 146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.41 : 243.38 = 106.49 : x
  2. Step 2: Convert to fraction form
    176.41/243.38 = 106.49/x
  3. Step 3: Cross multiply
    176.41x = 243.38 × 106.49
  4. Step 4: Simplify right side
    176.41x = 25,917.54
  5. Step 5: Solve for x
    x = 25,917.54/176.41
  6. Step 6: Final answer
    x = 146.92

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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.