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Finding the Fourth Proportional to 174.83, 260.98 and 173.12

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Solution

The fourth proportional to 174.83, 260.98 and 173.12 is: 258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.83 : 260.98 = 173.12 : x
  2. Step 2: Convert to fraction form
    174.83/260.98 = 173.12/x
  3. Step 3: Cross multiply
    174.83x = 260.98 × 173.12
  4. Step 4: Simplify right side
    174.83x = 45,179.12
  5. Step 5: Solve for x
    x = 45,179.12/174.83
  6. Step 6: Final answer
    x = 258.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.