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Finding the Fourth Proportional to 200.56, 299.43 and 171.68

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Solution

The fourth proportional to 200.56, 299.43 and 171.68 is: 256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.56 : 299.43 = 171.68 : x
  2. Step 2: Convert to fraction form
    200.56/299.43 = 171.68/x
  3. Step 3: Cross multiply
    200.56x = 299.43 × 171.68
  4. Step 4: Simplify right side
    200.56x = 51,406.14
  5. Step 5: Solve for x
    x = 51,406.14/200.56
  6. Step 6: Final answer
    x = 256.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.