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Finding the Fourth Proportional to 635, 952.54 and 202.12

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Solution

The fourth proportional to 635, 952.54 and 202.12 is: 303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    635 : 952.54 = 202.12 : x
  2. Step 2: Convert to fraction form
    635/952.54 = 202.12/x
  3. Step 3: Cross multiply
    635x = 952.54 × 202.12
  4. Step 4: Simplify right side
    635x = 192,527.38
  5. Step 5: Solve for x
    x = 192,527.38/635
  6. Step 6: Final answer
    x = 303.19

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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.