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Finding the Fourth Proportional to 264.49, 364.84 and 180.61

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Solution

The fourth proportional to 264.49, 364.84 and 180.61 is: 249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.49 : 364.84 = 180.61 : x
  2. Step 2: Convert to fraction form
    264.49/364.84 = 180.61/x
  3. Step 3: Cross multiply
    264.49x = 364.84 × 180.61
  4. Step 4: Simplify right side
    264.49x = 65,893.75
  5. Step 5: Solve for x
    x = 65,893.75/264.49
  6. Step 6: Final answer
    x = 249.14

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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.