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Finding the Fourth Proportional to 174.97, 260.55 and 173.05

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Solution

The fourth proportional to 174.97, 260.55 and 173.05 is: 257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.97 : 260.55 = 173.05 : x
  2. Step 2: Convert to fraction form
    174.97/260.55 = 173.05/x
  3. Step 3: Cross multiply
    174.97x = 260.55 × 173.05
  4. Step 4: Simplify right side
    174.97x = 45,088.18
  5. Step 5: Solve for x
    x = 45,088.18/174.97
  6. Step 6: Final answer
    x = 257.69

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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.