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Finding the Fourth Proportional to 264.52, 364.91 and 180.43

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Solution

The fourth proportional to 264.52, 364.91 and 180.43 is: 248.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.52 : 364.91 = 180.43 : x
  2. Step 2: Convert to fraction form
    264.52/364.91 = 180.43/x
  3. Step 3: Cross multiply
    264.52x = 364.91 × 180.43
  4. Step 4: Simplify right side
    264.52x = 65,840.95
  5. Step 5: Solve for x
    x = 65,840.95/264.52
  6. Step 6: Final answer
    x = 248.91

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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.