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Finding the Fourth Proportional to 173.16, 238.98 and 106.83

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Solution

The fourth proportional to 173.16, 238.98 and 106.83 is: 147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.16 : 238.98 = 106.83 : x
  2. Step 2: Convert to fraction form
    173.16/238.98 = 106.83/x
  3. Step 3: Cross multiply
    173.16x = 238.98 × 106.83
  4. Step 4: Simplify right side
    173.16x = 25,530.23
  5. Step 5: Solve for x
    x = 25,530.23/173.16
  6. Step 6: Final answer
    x = 147.44

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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.