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Finding the Fourth Proportional to 191.47, 264.09 and 125.95

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Solution

The fourth proportional to 191.47, 264.09 and 125.95 is: 173.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.47 : 264.09 = 125.95 : x
  2. Step 2: Convert to fraction form
    191.47/264.09 = 125.95/x
  3. Step 3: Cross multiply
    191.47x = 264.09 × 125.95
  4. Step 4: Simplify right side
    191.47x = 33,262.14
  5. Step 5: Solve for x
    x = 33,262.14/191.47
  6. Step 6: Final answer
    x = 173.72

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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.