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Finding the Fourth Proportional to 202.42, 303.36 and 137.22

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Solution

The fourth proportional to 202.42, 303.36 and 137.22 is: 205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.42 : 303.36 = 137.22 : x
  2. Step 2: Convert to fraction form
    202.42/303.36 = 137.22/x
  3. Step 3: Cross multiply
    202.42x = 303.36 × 137.22
  4. Step 4: Simplify right side
    202.42x = 41,627.06
  5. Step 5: Solve for x
    x = 41,627.06/202.42
  6. Step 6: Final answer
    x = 205.65

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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.