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Finding the Fourth Proportional to 617.39, 926.14 and 195.22

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Solution

The fourth proportional to 617.39, 926.14 and 195.22 is: 292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.39 : 926.14 = 195.22 : x
  2. Step 2: Convert to fraction form
    617.39/926.14 = 195.22/x
  3. Step 3: Cross multiply
    617.39x = 926.14 × 195.22
  4. Step 4: Simplify right side
    617.39x = 180,796.42
  5. Step 5: Solve for x
    x = 180,796.42/617.39
  6. Step 6: Final answer
    x = 292.84

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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.