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Finding the Fourth Proportional to 263.30, 394.68 and 202.28

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Solution

The fourth proportional to 263.30, 394.68 and 202.28 is: 303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.30 : 394.68 = 202.28 : x
  2. Step 2: Convert to fraction form
    263.30/394.68 = 202.28/x
  3. Step 3: Cross multiply
    263.30x = 394.68 × 202.28
  4. Step 4: Simplify right side
    263.30x = 79,835.87
  5. Step 5: Solve for x
    x = 79,835.87/263.30
  6. Step 6: Final answer
    x = 303.21

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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.