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Finding the Fourth Proportional to 233.28, 351.44 and 202.60

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Solution

The fourth proportional to 233.28, 351.44 and 202.60 is: 305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.28 : 351.44 = 202.60 : x
  2. Step 2: Convert to fraction form
    233.28/351.44 = 202.60/x
  3. Step 3: Cross multiply
    233.28x = 351.44 × 202.60
  4. Step 4: Simplify right side
    233.28x = 71,201.93
  5. Step 5: Solve for x
    x = 71,201.93/233.28
  6. Step 6: Final answer
    x = 305.22

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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.