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Finding the Fourth Proportional to 263.75, 364.41 and 185.36

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Solution

The fourth proportional to 263.75, 364.41 and 185.36 is: 256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.75 : 364.41 = 185.36 : x
  2. Step 2: Convert to fraction form
    263.75/364.41 = 185.36/x
  3. Step 3: Cross multiply
    263.75x = 364.41 × 185.36
  4. Step 4: Simplify right side
    263.75x = 67,545.22
  5. Step 5: Solve for x
    x = 67,545.22/263.75
  6. Step 6: Final answer
    x = 256.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.