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Finding the Fourth Proportional to 171.57, 236.21 and 153.69

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Solution

The fourth proportional to 171.57, 236.21 and 153.69 is: 211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.57 : 236.21 = 153.69 : x
  2. Step 2: Convert to fraction form
    171.57/236.21 = 153.69/x
  3. Step 3: Cross multiply
    171.57x = 236.21 × 153.69
  4. Step 4: Simplify right side
    171.57x = 36,302.35
  5. Step 5: Solve for x
    x = 36,302.35/171.57
  6. Step 6: Final answer
    x = 211.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.