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Finding the Fourth Proportional to 171.50, 257.14 and 63.28

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Solution

The fourth proportional to 171.50, 257.14 and 63.28 is: 94.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.50 : 257.14 = 63.28 : x
  2. Step 2: Convert to fraction form
    171.50/257.14 = 63.28/x
  3. Step 3: Cross multiply
    171.50x = 257.14 × 63.28
  4. Step 4: Simplify right side
    171.50x = 16,271.82
  5. Step 5: Solve for x
    x = 16,271.82/171.50
  6. Step 6: Final answer
    x = 94.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.