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Finding the Fourth Proportional to 231.95, 349.27 and 171.50

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Solution

The fourth proportional to 231.95, 349.27 and 171.50 is: 258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.95 : 349.27 = 171.50 : x
  2. Step 2: Convert to fraction form
    231.95/349.27 = 171.50/x
  3. Step 3: Cross multiply
    231.95x = 349.27 × 171.50
  4. Step 4: Simplify right side
    231.95x = 59,900.25
  5. Step 5: Solve for x
    x = 59,900.25/231.95
  6. Step 6: Final answer
    x = 258.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.