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Finding the Fourth Proportional to 174.98, 243.04 and 170.12

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Solution

The fourth proportional to 174.98, 243.04 and 170.12 is: 236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.98 : 243.04 = 170.12 : x
  2. Step 2: Convert to fraction form
    174.98/243.04 = 170.12/x
  3. Step 3: Cross multiply
    174.98x = 243.04 × 170.12
  4. Step 4: Simplify right side
    174.98x = 41,345.96
  5. Step 5: Solve for x
    x = 41,345.96/174.98
  6. Step 6: Final answer
    x = 236.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.