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Finding the Fourth Proportional to 171.42, 258.06 and 117.68

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Solution

The fourth proportional to 171.42, 258.06 and 117.68 is: 177.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.42 : 258.06 = 117.68 : x
  2. Step 2: Convert to fraction form
    171.42/258.06 = 117.68/x
  3. Step 3: Cross multiply
    171.42x = 258.06 × 117.68
  4. Step 4: Simplify right side
    171.42x = 30,367.21
  5. Step 5: Solve for x
    x = 30,367.21/171.42
  6. Step 6: Final answer
    x = 177.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.