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Finding the Fourth Proportional to 174.68, 261.09 and 170.58

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Solution

The fourth proportional to 174.68, 261.09 and 170.58 is: 254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.68 : 261.09 = 170.58 : x
  2. Step 2: Convert to fraction form
    174.68/261.09 = 170.58/x
  3. Step 3: Cross multiply
    174.68x = 261.09 × 170.58
  4. Step 4: Simplify right side
    174.68x = 44,536.73
  5. Step 5: Solve for x
    x = 44,536.73/174.68
  6. Step 6: Final answer
    x = 254.96

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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.