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Finding the Fourth Proportional to 171.23, 256.83 and 49.49

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Solution

The fourth proportional to 171.23, 256.83 and 49.49 is: 74.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.23 : 256.83 = 49.49 : x
  2. Step 2: Convert to fraction form
    171.23/256.83 = 49.49/x
  3. Step 3: Cross multiply
    171.23x = 256.83 × 49.49
  4. Step 4: Simplify right side
    171.23x = 12,711.10
  5. Step 5: Solve for x
    x = 12,711.10/171.23
  6. Step 6: Final answer
    x = 74.23

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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.