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Finding the Fourth Proportional to 263.63, 363.71 and 180.74

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Solution

The fourth proportional to 263.63, 363.71 and 180.74 is: 249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.63 : 363.71 = 180.74 : x
  2. Step 2: Convert to fraction form
    263.63/363.71 = 180.74/x
  3. Step 3: Cross multiply
    263.63x = 363.71 × 180.74
  4. Step 4: Simplify right side
    263.63x = 65,734.22
  5. Step 5: Solve for x
    x = 65,734.22/263.63
  6. Step 6: Final answer
    x = 249.35

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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.