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Finding the Fourth Proportional to 263.76, 364.02 and 180.84

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Solution

The fourth proportional to 263.76, 364.02 and 180.84 is: 249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.76 : 364.02 = 180.84 : x
  2. Step 2: Convert to fraction form
    263.76/364.02 = 180.84/x
  3. Step 3: Cross multiply
    263.76x = 364.02 × 180.84
  4. Step 4: Simplify right side
    263.76x = 65,829.38
  5. Step 5: Solve for x
    x = 65,829.38/263.76
  6. Step 6: Final answer
    x = 249.58

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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.