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Finding the Fourth Proportional to 263.68, 364.04 and 185.08

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Solution

The fourth proportional to 263.68, 364.04 and 185.08 is: 255.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.68 : 364.04 = 185.08 : x
  2. Step 2: Convert to fraction form
    263.68/364.04 = 185.08/x
  3. Step 3: Cross multiply
    263.68x = 364.04 × 185.08
  4. Step 4: Simplify right side
    263.68x = 67,376.52
  5. Step 5: Solve for x
    x = 67,376.52/263.68
  6. Step 6: Final answer
    x = 255.52

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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.