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Finding the Fourth Proportional to 264.14, 364.22 and 194.10

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Solution

The fourth proportional to 264.14, 364.22 and 194.10 is: 267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.14 : 364.22 = 194.10 : x
  2. Step 2: Convert to fraction form
    264.14/364.22 = 194.10/x
  3. Step 3: Cross multiply
    264.14x = 364.22 × 194.10
  4. Step 4: Simplify right side
    264.14x = 70,695.10
  5. Step 5: Solve for x
    x = 70,695.10/264.14
  6. Step 6: Final answer
    x = 267.64

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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.