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Finding the Fourth Proportional to 640.07, 960.12 and 201.35

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Solution

The fourth proportional to 640.07, 960.12 and 201.35 is: 302.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.07 : 960.12 = 201.35 : x
  2. Step 2: Convert to fraction form
    640.07/960.12 = 201.35/x
  3. Step 3: Cross multiply
    640.07x = 960.12 × 201.35
  4. Step 4: Simplify right side
    640.07x = 193,322.56
  5. Step 5: Solve for x
    x = 193,322.56/640.07
  6. Step 6: Final answer
    x = 302.03

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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.