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Finding the Fourth Proportional to 617.22, 925.86 and 184.38

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Solution

The fourth proportional to 617.22, 925.86 and 184.38 is: 276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.22 : 925.86 = 184.38 : x
  2. Step 2: Convert to fraction form
    617.22/925.86 = 184.38/x
  3. Step 3: Cross multiply
    617.22x = 925.86 × 184.38
  4. Step 4: Simplify right side
    617.22x = 170,710.07
  5. Step 5: Solve for x
    x = 170,710.07/617.22
  6. Step 6: Final answer
    x = 276.58

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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.