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Finding the Fourth Proportional to 202.09, 304.33 and 151.12

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Solution

The fourth proportional to 202.09, 304.33 and 151.12 is: 227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.09 : 304.33 = 151.12 : x
  2. Step 2: Convert to fraction form
    202.09/304.33 = 151.12/x
  3. Step 3: Cross multiply
    202.09x = 304.33 × 151.12
  4. Step 4: Simplify right side
    202.09x = 45,990.35
  5. Step 5: Solve for x
    x = 45,990.35/202.09
  6. Step 6: Final answer
    x = 227.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.