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Finding the Fourth Proportional to 191.56, 264.14 and 149.98

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Solution

The fourth proportional to 191.56, 264.14 and 149.98 is: 206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.56 : 264.14 = 149.98 : x
  2. Step 2: Convert to fraction form
    191.56/264.14 = 149.98/x
  3. Step 3: Cross multiply
    191.56x = 264.14 × 149.98
  4. Step 4: Simplify right side
    191.56x = 39,615.72
  5. Step 5: Solve for x
    x = 39,615.72/191.56
  6. Step 6: Final answer
    x = 206.81

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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.