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Finding the Fourth Proportional to 176.67, 241.64 and 173.83

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Solution

The fourth proportional to 176.67, 241.64 and 173.83 is: 237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.67 : 241.64 = 173.83 : x
  2. Step 2: Convert to fraction form
    176.67/241.64 = 173.83/x
  3. Step 3: Cross multiply
    176.67x = 241.64 × 173.83
  4. Step 4: Simplify right side
    176.67x = 42,003.71
  5. Step 5: Solve for x
    x = 42,003.71/176.67
  6. Step 6: Final answer
    x = 237.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.