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Finding the Fourth Proportional to 617.19, 925.88 and 206.23

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Solution

The fourth proportional to 617.19, 925.88 and 206.23 is: 309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.19 : 925.88 = 206.23 : x
  2. Step 2: Convert to fraction form
    617.19/925.88 = 206.23/x
  3. Step 3: Cross multiply
    617.19x = 925.88 × 206.23
  4. Step 4: Simplify right side
    617.19x = 190,944.23
  5. Step 5: Solve for x
    x = 190,944.23/617.19
  6. Step 6: Final answer
    x = 309.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.