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Finding the Fourth Proportional to 202.64, 304.16 and 137.43

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Solution

The fourth proportional to 202.64, 304.16 and 137.43 is: 206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.64 : 304.16 = 137.43 : x
  2. Step 2: Convert to fraction form
    202.64/304.16 = 137.43/x
  3. Step 3: Cross multiply
    202.64x = 304.16 × 137.43
  4. Step 4: Simplify right side
    202.64x = 41,800.71
  5. Step 5: Solve for x
    x = 41,800.71/202.64
  6. Step 6: Final answer
    x = 206.28

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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.