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Finding the Fourth Proportional to 202.71, 304.26 and 137.71

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Solution

The fourth proportional to 202.71, 304.26 and 137.71 is: 206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.71 : 304.26 = 137.71 : x
  2. Step 2: Convert to fraction form
    202.71/304.26 = 137.71/x
  3. Step 3: Cross multiply
    202.71x = 304.26 × 137.71
  4. Step 4: Simplify right side
    202.71x = 41,899.64
  5. Step 5: Solve for x
    x = 41,899.64/202.71
  6. Step 6: Final answer
    x = 206.70

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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.