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Finding the Fourth Proportional to 330.50, 495.89 and 202.25

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Solution

The fourth proportional to 330.50, 495.89 and 202.25 is: 303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.50 : 495.89 = 202.25 : x
  2. Step 2: Convert to fraction form
    330.50/495.89 = 202.25/x
  3. Step 3: Cross multiply
    330.50x = 495.89 × 202.25
  4. Step 4: Simplify right side
    330.50x = 100,293.75
  5. Step 5: Solve for x
    x = 100,293.75/330.50
  6. Step 6: Final answer
    x = 303.46

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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.