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Finding the Fourth Proportional to 171.75, 256.29 and 153.54

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Solution

The fourth proportional to 171.75, 256.29 and 153.54 is: 229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.75 : 256.29 = 153.54 : x
  2. Step 2: Convert to fraction form
    171.75/256.29 = 153.54/x
  3. Step 3: Cross multiply
    171.75x = 256.29 × 153.54
  4. Step 4: Simplify right side
    171.75x = 39,350.77
  5. Step 5: Solve for x
    x = 39,350.77/171.75
  6. Step 6: Final answer
    x = 229.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.