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Finding the Fourth Proportional to 171.62, 255.89 and 147.02

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Solution

The fourth proportional to 171.62, 255.89 and 147.02 is: 219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.62 : 255.89 = 147.02 : x
  2. Step 2: Convert to fraction form
    171.62/255.89 = 147.02/x
  3. Step 3: Cross multiply
    171.62x = 255.89 × 147.02
  4. Step 4: Simplify right side
    171.62x = 37,620.04
  5. Step 5: Solve for x
    x = 37,620.04/171.62
  6. Step 6: Final answer
    x = 219.21

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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.