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Finding the Fourth Proportional to 171.66, 257.40 and 117.57

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Solution

The fourth proportional to 171.66, 257.40 and 117.57 is: 176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.66 : 257.40 = 117.57 : x
  2. Step 2: Convert to fraction form
    171.66/257.40 = 117.57/x
  3. Step 3: Cross multiply
    171.66x = 257.40 × 117.57
  4. Step 4: Simplify right side
    171.66x = 30,262.52
  5. Step 5: Solve for x
    x = 30,262.52/171.66
  6. Step 6: Final answer
    x = 176.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.