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Finding the Fourth Proportional to 171.48, 256.74 and 110.46

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Solution

The fourth proportional to 171.48, 256.74 and 110.46 is: 165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.48 : 256.74 = 110.46 : x
  2. Step 2: Convert to fraction form
    171.48/256.74 = 110.46/x
  3. Step 3: Cross multiply
    171.48x = 256.74 × 110.46
  4. Step 4: Simplify right side
    171.48x = 28,358.22
  5. Step 5: Solve for x
    x = 28,358.22/171.48
  6. Step 6: Final answer
    x = 165.38

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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.