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Finding the Fourth Proportional to 171.20, 231.30 and 171.20

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Solution

The fourth proportional to 171.20, 231.30 and 171.20 is: 231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.20 : 231.30 = 171.20 : x
  2. Step 2: Convert to fraction form
    171.20/231.30 = 171.20/x
  3. Step 3: Cross multiply
    171.20x = 231.30 × 171.20
  4. Step 4: Simplify right side
    171.20x = 39,598.56
  5. Step 5: Solve for x
    x = 39,598.56/171.20
  6. Step 6: Final answer
    x = 231.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.