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Finding the Fourth Proportional to 264.12, 364.11 and 194.06

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Solution

The fourth proportional to 264.12, 364.11 and 194.06 is: 267.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.12 : 364.11 = 194.06 : x
  2. Step 2: Convert to fraction form
    264.12/364.11 = 194.06/x
  3. Step 3: Cross multiply
    264.12x = 364.11 × 194.06
  4. Step 4: Simplify right side
    264.12x = 70,657.37
  5. Step 5: Solve for x
    x = 70,657.37/264.12
  6. Step 6: Final answer
    x = 267.52

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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.