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Finding the Fourth Proportional to 172.67, 258.53 and 117.92

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Solution

The fourth proportional to 172.67, 258.53 and 117.92 is: 176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.67 : 258.53 = 117.92 : x
  2. Step 2: Convert to fraction form
    172.67/258.53 = 117.92/x
  3. Step 3: Cross multiply
    172.67x = 258.53 × 117.92
  4. Step 4: Simplify right side
    172.67x = 30,485.91
  5. Step 5: Solve for x
    x = 30,485.91/172.67
  6. Step 6: Final answer
    x = 176.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.