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Finding the Fourth Proportional to 264.47, 364.37 and 194.06

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Solution

The fourth proportional to 264.47, 364.37 and 194.06 is: 267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.47 : 364.37 = 194.06 : x
  2. Step 2: Convert to fraction form
    264.47/364.37 = 194.06/x
  3. Step 3: Cross multiply
    264.47x = 364.37 × 194.06
  4. Step 4: Simplify right side
    264.47x = 70,709.58
  5. Step 5: Solve for x
    x = 70,709.58/264.47
  6. Step 6: Final answer
    x = 267.37

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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.