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Finding the Fourth Proportional to 171.24, 256.55 and 135.11

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Solution

The fourth proportional to 171.24, 256.55 and 135.11 is: 202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.24 : 256.55 = 135.11 : x
  2. Step 2: Convert to fraction form
    171.24/256.55 = 135.11/x
  3. Step 3: Cross multiply
    171.24x = 256.55 × 135.11
  4. Step 4: Simplify right side
    171.24x = 34,660.51
  5. Step 5: Solve for x
    x = 34,660.51/171.24
  6. Step 6: Final answer
    x = 202.41

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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.