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Finding the Fourth Proportional to 645.86, 968.85 and 207.16

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Solution

The fourth proportional to 645.86, 968.85 and 207.16 is: 310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.86 : 968.85 = 207.16 : x
  2. Step 2: Convert to fraction form
    645.86/968.85 = 207.16/x
  3. Step 3: Cross multiply
    645.86x = 968.85 × 207.16
  4. Step 4: Simplify right side
    645.86x = 200,704.54
  5. Step 5: Solve for x
    x = 200,704.54/645.86
  6. Step 6: Final answer
    x = 310.75

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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.