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Finding the Fourth Proportional to 171.36, 257.00 and 49.59

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Solution

The fourth proportional to 171.36, 257.00 and 49.59 is: 74.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.36 : 257.00 = 49.59 : x
  2. Step 2: Convert to fraction form
    171.36/257.00 = 49.59/x
  3. Step 3: Cross multiply
    171.36x = 257.00 × 49.59
  4. Step 4: Simplify right side
    171.36x = 12,744.38
  5. Step 5: Solve for x
    x = 12,744.38/171.36
  6. Step 6: Final answer
    x = 74.37

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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.