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Finding the Fourth Proportional to 202.96, 304.64 and 137.96

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Solution

The fourth proportional to 202.96, 304.64 and 137.96 is: 207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.96 : 304.64 = 137.96 : x
  2. Step 2: Convert to fraction form
    202.96/304.64 = 137.96/x
  3. Step 3: Cross multiply
    202.96x = 304.64 × 137.96
  4. Step 4: Simplify right side
    202.96x = 42,027.44
  5. Step 5: Solve for x
    x = 42,027.44/202.96
  6. Step 6: Final answer
    x = 207.08

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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.