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Finding the Fourth Proportional to 264.25, 395.97 and 177.40

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Solution

The fourth proportional to 264.25, 395.97 and 177.40 is: 265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.25 : 395.97 = 177.40 : x
  2. Step 2: Convert to fraction form
    264.25/395.97 = 177.40/x
  3. Step 3: Cross multiply
    264.25x = 395.97 × 177.40
  4. Step 4: Simplify right side
    264.25x = 70,245.08
  5. Step 5: Solve for x
    x = 70,245.08/264.25
  6. Step 6: Final answer
    x = 265.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.