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Finding the Fourth Proportional to 176.67, 243.81 and 106.75

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Solution

The fourth proportional to 176.67, 243.81 and 106.75 is: 147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.67 : 243.81 = 106.75 : x
  2. Step 2: Convert to fraction form
    176.67/243.81 = 106.75/x
  3. Step 3: Cross multiply
    176.67x = 243.81 × 106.75
  4. Step 4: Simplify right side
    176.67x = 26,027.02
  5. Step 5: Solve for x
    x = 26,027.02/176.67
  6. Step 6: Final answer
    x = 147.32

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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.