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Finding the Fourth Proportional to 264.76, 365.59 and 194.90

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Solution

The fourth proportional to 264.76, 365.59 and 194.90 is: 269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.76 : 365.59 = 194.90 : x
  2. Step 2: Convert to fraction form
    264.76/365.59 = 194.90/x
  3. Step 3: Cross multiply
    264.76x = 365.59 × 194.90
  4. Step 4: Simplify right side
    264.76x = 71,252.09
  5. Step 5: Solve for x
    x = 71,252.09/264.76
  6. Step 6: Final answer
    x = 269.12

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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.