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Finding the Fourth Proportional to 191.69, 264.67 and 126.31

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Solution

The fourth proportional to 191.69, 264.67 and 126.31 is: 174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.69 : 264.67 = 126.31 : x
  2. Step 2: Convert to fraction form
    191.69/264.67 = 126.31/x
  3. Step 3: Cross multiply
    191.69x = 264.67 × 126.31
  4. Step 4: Simplify right side
    191.69x = 33,430.47
  5. Step 5: Solve for x
    x = 33,430.47/191.69
  6. Step 6: Final answer
    x = 174.40

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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.