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Finding the Fourth Proportional to 617.16, 925.64 and 184.22

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Solution

The fourth proportional to 617.16, 925.64 and 184.22 is: 276.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.16 : 925.64 = 184.22 : x
  2. Step 2: Convert to fraction form
    617.16/925.64 = 184.22/x
  3. Step 3: Cross multiply
    617.16x = 925.64 × 184.22
  4. Step 4: Simplify right side
    617.16x = 170,517.23
  5. Step 5: Solve for x
    x = 170,517.23/617.16
  6. Step 6: Final answer
    x = 276.29

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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.