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Finding the Fourth Proportional to 175.26, 260.99 and 170.71

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Solution

The fourth proportional to 175.26, 260.99 and 170.71 is: 254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.26 : 260.99 = 170.71 : x
  2. Step 2: Convert to fraction form
    175.26/260.99 = 170.71/x
  3. Step 3: Cross multiply
    175.26x = 260.99 × 170.71
  4. Step 4: Simplify right side
    175.26x = 44,552.74
  5. Step 5: Solve for x
    x = 44,552.74/175.26
  6. Step 6: Final answer
    x = 254.20

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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.