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Finding the Fourth Proportional to 173.28, 238.86 and 117.93

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Solution

The fourth proportional to 173.28, 238.86 and 117.93 is: 162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.28 : 238.86 = 117.93 : x
  2. Step 2: Convert to fraction form
    173.28/238.86 = 117.93/x
  3. Step 3: Cross multiply
    173.28x = 238.86 × 117.93
  4. Step 4: Simplify right side
    173.28x = 28,168.09
  5. Step 5: Solve for x
    x = 28,168.09/173.28
  6. Step 6: Final answer
    x = 162.55

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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.