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Finding the Fourth Proportional to 617.91, 927 and 185.10

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Solution

The fourth proportional to 617.91, 927 and 185.10 is: 277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.91 : 927 = 185.10 : x
  2. Step 2: Convert to fraction form
    617.91/927 = 185.10/x
  3. Step 3: Cross multiply
    617.91x = 927 × 185.10
  4. Step 4: Simplify right side
    617.91x = 171,587.70
  5. Step 5: Solve for x
    x = 171,587.70/617.91
  6. Step 6: Final answer
    x = 277.69

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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.