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Finding the Fourth Proportional to 173.08, 238.53 and 117.82

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Solution

The fourth proportional to 173.08, 238.53 and 117.82 is: 162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.08 : 238.53 = 117.82 : x
  2. Step 2: Convert to fraction form
    173.08/238.53 = 117.82/x
  3. Step 3: Cross multiply
    173.08x = 238.53 × 117.82
  4. Step 4: Simplify right side
    173.08x = 28,103.60
  5. Step 5: Solve for x
    x = 28,103.60/173.08
  6. Step 6: Final answer
    x = 162.37

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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.