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Finding the Fourth Proportional to 635.02, 952.46 and 202.12

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Solution

The fourth proportional to 635.02, 952.46 and 202.12 is: 303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.02 : 952.46 = 202.12 : x
  2. Step 2: Convert to fraction form
    635.02/952.46 = 202.12/x
  3. Step 3: Cross multiply
    635.02x = 952.46 × 202.12
  4. Step 4: Simplify right side
    635.02x = 192,511.22
  5. Step 5: Solve for x
    x = 192,511.22/635.02
  6. Step 6: Final answer
    x = 303.16

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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.