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Finding the Fourth Proportional to 617.02, 925.70 and 206.14

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Solution

The fourth proportional to 617.02, 925.70 and 206.14 is: 309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.02 : 925.70 = 206.14 : x
  2. Step 2: Convert to fraction form
    617.02/925.70 = 206.14/x
  3. Step 3: Cross multiply
    617.02x = 925.70 × 206.14
  4. Step 4: Simplify right side
    617.02x = 190,823.80
  5. Step 5: Solve for x
    x = 190,823.80/617.02
  6. Step 6: Final answer
    x = 309.27

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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.